For which of the following inequalities, is -4 part of the solution set? Select all that apply. A. x > -5 . B. 2 > X . C. 3x + 4 > -8 D. 5x < 2x - 3 E. ---6 < 4 - 2x​

For Which Of The Following Inequalities, Is -4 Part Of The Solution Set? Select All That Apply. A. X

Answers

Answer 1

[tex]-4[/tex] is a part of the solution set to all of the inequalities

We will consider each inequality in turn:

For [tex]x>-5[/tex]:

The solution set is [tex]\{{-4,-3,-2,-1,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]x>-5[/tex]

For [tex]2>x[/tex], or [tex]x<2[/tex]:

The solution set is [tex]\{{1,0-1,-2,-3,-4,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]2>x[/tex]

For [tex]3x+4\ge -8[/tex]:

We have to solve first

[tex]3x+4\ge -8\\3x\ge -8-4\\3x\ge -12\\x\ge -4\\[/tex]

The solution set is [tex]\{{-4,-3,-2,-1,0,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]3x+4\ge -8[/tex]

For [tex]5x\le 2x-3[/tex]:

We have to solve first

[tex]5x\le 2x-3\\5x-2x\le-3\\3x\le-3\\x\le-1[/tex]

The solution set is [tex]\{{-1,-2,-3,-4,-5,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]5x\le 2x-3[/tex]

For [tex]-6<4-2x[/tex]:

We have to solve first

[tex]-6<4-2x\\2x<4+6\\2x<10\\x<5[/tex]

The solution set is [tex]\{{4,3,2,...,-3,-4,-5,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]-6<4-2x[/tex]

So, [tex]-4[/tex] is a part of the solution set of all the inequalities.

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Related Questions

Please help me with this homework …

Answers

Answer:

I think letter B

Step-by-step explanation:

Yyyyyyyygggggggggggggggg

What is the equation of the line that passes through the point (2,-6)(2,−6) and has a slope of -1−1?

Answers

Answer:

y=-x-4

Step-by-step explanation:

Plz help fast I will mark brainliest

Answers

Base angle theorem proves that

Sean wants to spend (example) $100 on clothing and he wants to purchase 6 additional items for his wardrobe. Each pair of pants costs $20 and each shirt costs $15.
a. What is the system of equations that represents this situation?

b. Can he buy 2 pair of pants and 4 shirts?

c. Show the solution graphically.

Please answer quickly!

Answers

A: I do not understand.

B: Yes

C: 2 pair pants is $40. 4 pair shirts is $60. $60 + $40 = $100

The picture shows $40.50 that two friends earned mowing a lawn.
They want to share the money equally.

Drag the money below to show how much each friend will get.

Answers

Answer:

Each friend gets $20.25

40.50/2=$20.25

So $20.25 each

Can someone please help I will give you 30 points and brainliest if the answer is right also no links please

Answers

Answer:

HL.

Step-by-step explanation:

Triangles  FEH and FGH are congruent

They are both right angles and the  hypotenuse and  a leg ( the side FH) are both equal in length.

Please help if you can! How many possible combinations of two number cubes, numbered 1 through 6, would add up to exactly 7?

Answers

Answer:

1. 1+6

2. 2+5

3. 3+4

4. 4+3

5. 5+2

6. 1+6

Step-by-step explanation:

can someone pls help me

Answers

Answer:

The independent variable is the week's, the dependent variable is the height in inches.

Step-by-step explanation:

The independent variable is the variable that when changed, something changes because of it. So for example, for plant A, in 2 weeks (independent) thevplant will grow 2 inches (dependent). The dependent variable is the variable that changes because of the independent.

Extra Information is below

Y-intercept: The y-intercept is when the line crosses with the line when the x-axis is 0. For example, plant B is by 0 weeks, it was 4 inches. The y-intercept will be 4 inches because that is where the plant started before any change in the independent variable.

Slope: Y = mx + b. To get the answer for this equation, you first need to find out the constant, the constant if we're using plant A, is 6. The constant is also the y-intercept. The equation will look like Y = mx + 6. The m is the number that when multiplied with the independent variable, then added with the constant, you get y. The m for plant A is 1, the equation should look like y = 1x + 6. Now change the x with the independent variable in the table. The independent variable is 2, so y = 1(2) + 6, y = 2 + 6, y = 8.

The difference between two times a number and eight is twenty two. What is twice the number?

Answers

Answer: 30

Step-by-step explanation:

2x -8 = 22

2x = 22 + 8

2x = 30

Divide both sides by 2

X = 15

Twice of x

2 x X = 2 x 15 = 30

Kendra saw a calculator on sale for $68.25. The original price of the calculator was $89.99.

What is the approximate discount on the calculator?


20%

25%

30%

35%

Answers

The approximate percentage discount is equal to 25%.

Given the following data:

Sales price = $68.25.Original price = 89.99

To calculate the approximate discount on the calculator:

First of all, we would determine the discount on the calculator by using the following mathematical expression:

[tex]Discount = Original\;price -Sales\;price[/tex]

[tex]Discount = 89.99 -68.25[/tex]

Discount = $21.74

Now, we can calculate the approximate percentage discount:

[tex]Percent\;discount = \frac{21.74}{89.99} \times 100\\\\Percent\;discount = \frac{2174}{89.99}\\\\Percent\;discount = 24.16[/tex]

Percent discount = 25%

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I need assistance on this question please
X-3y=24

Answers

Answer:

x = -24 + 3y

Step-by-step explanation:

it would be great if you explain it in english to me,i understand it better​

Answers

[tex] \white{ \rule{40pt}{555555pt}}[/tex]

help!?!!!???
x-14=20

Answers

Answer:

x = 34

Step-by-step explanation:

Just add 14 on both sides of the equal sign to get x = 34.

Hope this helps :)

Answer:

x = 34

Step-by-step explanation:

hope it helps a lot

that's the final answer

Solve the equation 4x^2 – 32x + 64 = 0.

Answers

Answer: x = 4

Step-by-step explanation:  4x^2−32x+64=0

4(x−4)(x−4)=0

x−4=0 x−4=0

x=4

what is happening at this step in the equation solving process for 3x+7=5x
7=2x

Answers

Your subtracting 3x from 5x: 5x-3x
This is so you only have a variable on one side
3x+7=5x
-3x -3x
7=2x
(Divide both sides by 2)
x=3.5

The graph below represents the path of a squirrel traveling up and down a tree over time.
The position of the squirrel can be calculated using the function p (t) = at? + b + c.
What is the value of a?
What is the value of b?
What is the value of c?

Answers

Answer:

a= -1

b= 7

c= 0

Step-by-step explanation:

equation is

y=h(x)(x-7)

let x be 5 and y be 10 to solve for a

10=h(5)(5-7)

10=h(-10)

h=-1

now equation is

y= -x²+7x

so a=-1

b=7

c=0

The value of a is -1, the value of b is 7 and the value of c will be equal to zero.

What is an expression?

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both.

Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the data provided in the question,

y = h(x) × (x-7)

let x be 5 and y be 10 to solve for a

10=h(5) × (5-7)

10 = h(-10)

h = -1

now equation is

y = -x²+7x

So,

a = -1

b = 7

c = 0

To know more about expression:

https://brainly.com/question/14083225

#SPJ2

BRAINLIEST
Can I get some help on this assignments it’d take a lot of stress away from me

Answers

Answer:

Question=Q

Q2=18.9

Q3=26.7

Q4=24.8

Q5=35.6

Here are some answers

Remember if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)

if leg b is unknown, then. b = √(c² - a²)

for hypotenuse c missing, the formula is. c = √(a² + b²)

Have a wonderful day!

I need help this goes towards my grade so please be correct

Answers

Answer:

0 us the answer for this question

What is linear algebra.

Answers

Answer:

Linear algebra is flat differential geometry and serves in tangent spaces to manifolds.

Step-by-step explanation:

Linear algebra is the study of lines and planes, vector spaces and mappings that are required for linear transforms. It is a relatively young field of study, having initially been formalized in the 1800s in order to find unknowns in systems of linear equations.

Combined with calculus, linear algebra facilitates the solution of linear systems of differential equations. Techniques from linear algebra are also used in analytic geometry, engineering, physics, natural sciences, computer science, computer animation, and the social sciences (particularly in economics).

The ancient Babylonians were writing fractions in 1800 BCE. But they did not have a concept of zero until about 1489 years later. In what year did the Babylonians develop the concept of zero?

Answers

Answer:

1489

Step-by-step explanation:

Question 2 1 pts Which statement best describes 1-14 1? Remember, absolute value is a number's distance from O, so the number will always be positive :) O The distance from -14 to 0 on a number line. The answer is 14. O The distance from 14 to O on a number line. The answer is -14. O The distance from -14 to 14 on a number line. The answer is 28. O The distance from 0 to 14 on a number line. The answer is -14. Question 3 1 pts​

Answers

Answer:

  (a)  The distance from -14 to 0 on a number line. The answer is 14.

Step-by-step explanation:

If you put "-14" in the problem statement in place of the word "number," you will find it substantially matches the wording of answer choice A. |-14| means ...

  The distance from -14 to 0 on a number line. The answer is 14.

A factory produces pop-its at a constant rate. After 4 hours, 3,120 pop-its have been produced. What is the unit rate? (must show work)​

Answers

Answer:

780

Step-by-step explanation:

divide 4 from 3120 to find how many pop-its are made per hour/ unit rate

What is the value of x in the equation 5x(34+20) =36

Answers

Answer:

x=3.6

Step-by-step explanation:

parentese first so add 34+20= 54

5x54=36

-54=-54

5x= -18

5x/5x -18/5x

x= 3.6

How to multiple decimals by decimals.

Answers

Answer:

To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

To all who are good at math please help 80 points

Answers

Answer:

Number 4

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Find the 8th term of the geometric sequence whose common ratio is 3/2 and whose first term is 3

Answers

Answer:

51.2578125

Step-by-step explanation:

3 * (3/2)^(8 - 1)

3 *(3/2)^7

51.2578125

What is the equation of the line that passes through points (10,6) and (2,2) ?

Answers

Answer:

y = (1/2)x + 1

Step-by-step explanation:

y = mx + b

m = slope = (y2 - y1)/(x2 - x1) = (6 - 2)/(10 - 2) = 4/8 = 1/2

y = (1/2)x + b

Use point (2, 2) to find b.

2 = (1/2)(2) + b

2 = 1 + b

b = 1

Equation: y = (1/2)x + 1

Question 4 Objective: Apply properties of squares to solve mathematical and real-world problems. The perimeter of a square is 116 cm. What is the approximate length of its diagonal?

help​

Answers

Answer:

41.01 cm

Step-by-step explanation:

Answer:

  41.0 cm

Step-by-step explanation:

The side length is 1/4 the length of the perimeter.

  s = P/4

The diagonal length is √2 times the side length.

  d = s·√2

Then the diagonal is ...

  d = (P/4)√2 = (116 cm)(√2)/4 ≈ 41.01 cm

The diagonal is about 41.0 cm long.

word problem 3/4 ÷3/8

Answers

[tex] \frac{3}{4} \div \frac{3}{8} = \\ [/tex]

[tex] \frac{3}{4} \times \frac{8}{3} = \\ [/tex]

[tex] \frac{8}{4} = \\ [/tex]

[tex]2[/tex]

Subtract the linear expressions.

(34x−1)−(13x+4)

What is the difference?

Enter your answer in the box. Enter fractions as simplified fractions.

Answers

Answer: 21x-5

Step-by-step explanation:

All you have to do is subtract like you normally would and you'll get the answer

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