A solution to a linear inequality is shown below. The solution steps may not all be correct.
Solve: 4(x - 2) <6(x+3)

Step 1: 4x – 8 < 6x + 18
Step 2: -2x – 8< 18
Step 3: -2x < 26
Step 4: x>-13
Which steps in the solution follow correctly from the
previous step? Select all that are correct
(Select all that apply.)
Step 1
Step 2
Step 3
Step 4

Answers

Answer 1

Answer:

Step 3

Step-by-step explanation:

4x - 8 < 6x + 18

4x - 6x < 18 + 8

- 2x < 26

Answer 2

The steps in the solution that follows correctly from the previous steps are:

Step 1

Step 2

Step 3

Step 4

All the options are correct.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

4(x - 2) < 6(x+3)

Removing the parenthesis.

Step 1:

4x - 8 < 6x + 18

Subtracting -6x on both sides.

4x - 8 - 6x < 6x + 18 - 6x

Step 2:

-2x - 8 < 18

Add 8 on both sides.

-2x < 18 + 8

Step 3:

-2x < 26

Divide both sides by 2.

-x < 13

Multiply - on both sides.

The sign will change.

Step 4:

x > -13

We see that,

All the steps are given correctly.

Thus,

The steps in the solution that follows correctly from the previous steps are:

Step 1

Step 2

Step 3

Step 4

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Related Questions

I need help with this assignment problem, pls help ;-;

Answers

Answer:

1090 miles

Step-by-step explanation:

50525 - 48345 = 2180 miles in the two weeks

2180/2 (to find out how many miles in 1 week) = 1090

1090 miles per week

50525- 48345= 2180 divided by 2 equals 1090

Cuantos metros de valla necesitare para cercar una finca cuadrada de 54,3 de lado? por favor....

Answers

Answer:

217,2 m

Step-by-step explanation:

Si el lado de la finca mide 54,3 m y la finca es cuadrada entonces:

1.-El área de la finca es:

A = L²

Y el perimetro de un cuadrado es P = 4*L

Entonces

P = 4 * 54,3

P = 217,2 m

18.6 divided by 3 long division sorry to lazy

Answers

6.2 I hope that helps

The product of 3x2 and 5x4 is equivalent to...
A. 15x6
B. 15x8
C. 8x6
D. 8x8

Answers

Answer:

3*2=6. 5*4=20 and 6*20=120

now,

15*8=120

so the correct ans is 15*8

Marco scored 20 points at the basketball game . If this is 40% of the total score, what was the total score for the basketball game ?

Answers

The total score for the basketball game was 50 points.

What is percentage?

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

Points scored by Marco in basketball game = 20

Also, points scored by Marco is 40% of the total score,

Implies that,

40% = 20

1 % = 20 / 40

To determine total score, find value of 100%,

100 % = (20 / 40) x 100

          = 50

The total score for the basketball game was 50.

To know more about Percentage on:

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What is the interval used in the graph shown below? A. 4 B. 9 C. 10 D. 11

Answers

Answer:

C - 10

Step-by-step explanation:

I did the quiz and this is what I got, it said I was right.

Answer:

Answer:

c-10

Step-by-step explanation

the person above's right

32 + -3 • 4 – (–5) =

Answers

Answer:

The correct answer would be 25

Step-by-step explanation:

32+(−3)(4)−(−5)

=32+−12−(−5)

=20−(−5)

=25

Hope this helps have an amazing day!!

Answer:

121

Step-by-step explanation:

32+(-3)×4-(-5)

29×4-(-5)

116-(-5)

116+(+5)

121

On the weather map, what does the symbol shown below represent?

A curved line with half circles is shown

Flurries
Showers
T-Storms
Warm Front

Answers

A curved line with half circles is shown to be a warm front

Answer: Warm font or showers

Step-by-step explanation: Hope it helped! If you can, Can I please have brainliest? I need a few more

Write an equation of the line with a slope of 2/3and y-intercept of −8. y=

Answers

Answer:

The slope-intercept form of a linear equation is:

y=mx+b Where m is the slope and b is the y-intercept value.Substituting the values from the problem gives y=2/3x+−5    y=2/3x−5

Step-by-step explanation:

can someone help me with this?

Answers

Answer:

1 is C and 2 is B

Step-by-step explanation:

The diagram above shows a right prism container filled with water up to 8 cm in height.

Question : Calculate the volume,in cm³,of water needed to completely fill up the container.​

Answers

nvm ima delete this sry I thought I could do It lol

what is 3/5 divided by 1/2 as a reduced fraction

Answers

6/5 or 1 1/5
Hope this helps

Which of the following tables represents a proportional relationship?
A.
x 2 3 4 5
y 3 6 9 12
B.
x 2 4 6 8
y 3 4 5 6
C.
x 1 4 7 10
y 0 3 6 9
D.
x 2 4 6 8
y 3 6 9 12

Answers

Answer:

Step-by-step explanation:

the answers c

your answer must be simplified
−3 < x -10

Answers

Answer:

[tex]x>7[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\-3<(x-10)\\Now,\\By\ adding\ both\ the\ sides\ by\ 10,\\(-3)+10<(x-10)+10\\Hence,\\10-3<x-10+10\\7<x\\Or,\\x>7[/tex]

Solve the equation:
2x+1>7

Answers

Answer:

-3 and  infant soultion

Step-by-step explanation:

please since i gave u answer can u answe my recent question

6th grade math i mark as brainliest​

Answers

Answer:

36/s

Step-by-step explanation:

The / means divide since I couldn't find the division sign. The / is also another way to write the division sign.

Answer:

36/s

Step-by-step explanation:

A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value
that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.

?:(

Answers

Answer:

The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].

Step-by-step explanation:

According to the statement, let [tex]A(x,y) = (14,21)[/tex] and [tex]B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})[/tex]. The equation of the line in point-slope form is defined by the following formula:

[tex]y-y_{A} = m\cdot (x-x_{A})[/tex] (1)

Where:

[tex]x_{A}[/tex], [tex]y_{A}[/tex] - Coordinates of the point A, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

[tex]m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (2)

If we know that [tex]x_{A} = 14[/tex] and [tex]y_{A} = 21[/tex], then the equation of the line in point-slope form is:

[tex]x_{B} = 1.25\cdot (14)[/tex]

[tex]x_{B} = 17.5[/tex]

[tex]y_{B} = 0.75\cdot (21)[/tex]

[tex]y_{B} = 15.75[/tex]

From (2):

[tex]m = \frac{15.75-21}{17.5-14}[/tex]

[tex]m = -\frac{3}{2}[/tex]

By (1):

[tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex]

The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].

The amount of money that Kelly makes varies directly with the number of hours she works. If Kelly makes $306 when she works 18 hours, what is the constant of variation for her earnings?

A) 15

B) 17

C) 18

D) 20

Answers

It would be B 17 because 306 divided by 18 would be 17
If u divide $306 by the 18hrs u get 17x x=$ boom $17/hr

f(x)=4x+4;{-2,-1,0,1,2}

Answers

Answer:

i need more info

Step-by-step explanation:

please comment on this to tell me all of said details

Answer:

55 and the gravitational of a new one

Step-by-step explanation:

7th grade and the gravitational of a

Find the value of x

please help asap!!!​

Answers

Answer: 108

Step-by-step explanation:

x = 108

What is the answer ‍♀️

Answers

Answer:

c. 15in

Step-by-step explanation:

Answer:

C. 15 inches

Step-by-step explanation:

The perimeter of a traingle is all of the sides added together. If three sides equal 36, and 2 equal 21, then the remaining side would be 15.  Hope this helps!

PLEASE HELP
An 18 ounce jar contains 510 grams of grape jelly. How many kilograms of grape jelly does the jar contain?

1 kg = 1000 grams

A) 5.1 kg

B) 0.52 kg

C) 0.51 kg

D) 51 kg

Answers

Answer:

the answer is 5.1 killograms

Step-by-step explanation:

hope this helps

A coat has a regular price of $38 it is marked down 25% what is the sales price of the coat

Answers

28.5

b

e

c

a

u

sssssssss

e

y

e

s

s

i

r

Can someone help me?? The question is in the pic

Answers

Answer:

first one has 1 solution, second one have infinity solutions, third one has no solutions and the last one has 1 solution

Step-by-step explanation:

Answer:

Step-by-step explanation:

One solution:

[tex]\frac{1}{5}f-\frac{2}{3 }= \frac{-1}{5}f+\frac{2}{3}\\\\[/tex]

4a -3 +2a = 7a - 2

Infinitely many solution:

-1.7v + 2.8 = 1.4v-3.1v + 28

No solution:

Need a quick answer please

Answers

Answer:

X=22

Step-by-step explanation:

All the angles in every triangle must add up to 180 so we can subtract 23 and 135 from 180 to get 22.

Answer:

x=22

z=135

y=23

Step-by-step explanation:

First, start with x in the picture. All angles in a triangle add up to 180 degrees. So, add 135+23 and then subtract that from 180.

135+23=158

180-158 = 22 degrees

Angle z is congruent to the larger angle on the other triangle. So, that means z=135.

Angle y is equal to the angle across from it. Y=23

Which of the following best describes the Great Compromise?
A.
Only three-fifths of slaves in the southern states would be counted in the population used to assign the number of representatives in Congress.
B.
Congress would hold the power to levy taxes, but the individual states would determine how the taxes would be collected and paid to the federal government.
C.
The president would be indirectly elected by a super-majority (three-fifths) vote of the state legislatures.
D.
The states' representation in the lower house of the legislature would be divided according to population, and all states would be represented equally in the upper house.

Answers

Answer:

D.

Step-by-step explanation:

the Senate where each state has two Senators, and the House of Representatives where each state has a number of Representatives based on population.

13.8 x 7.9
What is the answer

Answers

Answer:

Answer 109.02i hope it is helpful have a nice day

Answer:

108.32

Step-by-step explanation:

[tex](13.8 \times 7.9) \\ = (11.72 + 96.6) \\ = 108.32[/tex]

Help needed! Will mark brainliest!!
Directions; Write a system of equations for each of the descriptions below, and then solve the systems. Hint: you can graph the equations to find the solutions.

There are two numbers. The difference between them equals six, and one of the numbers is three times the other number. There are two pairs of numbers that satisfy these descriptions, What are they?

Answers

Answer:

3

Step-by-step explanation:

let the other number be x

3x-x=6

2x=6

x=6÷2

x=3

therefore the numbers are 9&3

answer:

3x - x = 6, y = 3x → Pair 1: 3 and 9, Pair 2: 9 and 3

i hope this helps!! ♡

What is the primary function of this body system?
A. The protection of vital organs from injury
B. The chemical breakdown of food into smaller pieces
C. The transport of nutrients, water, and oxygen to body cells
D. The production of hormones that regulate growth and metabolism

Answers

The answer would be C:the transport of nutrients water and oxygen to body cells

Hope this helps :) Brainliest plz?

Joshua’s soccer ball has a radius of 4.6 inches what is the volume of his soccer ball?

Answers

Answer:

407.7

Step-by-step explanation:

volume = (4/3) * π * r³

(4/3)*PI*4.6^3=407.7

PLEASE MARK BRAINLIEST IF THIS HELPED. THANK YOU

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