Question

Solve and graph on a number line. Show your work in the box below.
7x + 10 < 11x + 2

Answer 1

Answer: x > 2

Explanation:

Subtract 10 from both sides

7x+ 10 < 11x + 2

7x+10-10 < 11x + 2 -10

Simplfy

subtract the numbers

7x < 11x -8

Subtact 11 from both sides

7x < 11x -8

7x - 11x < 11x -8 - 11x

Combine Like terms

-4x < -8

Divide both sides by the same factor, and flip the relation because the factor is negative

-4x < -8

-4x/-4 > -8/-4

Cancel terms that are in both the numerator and denominator

Divide the numbers

x > 2

Answer 2

x > 2

Graph in picture

Explanation:

Given:

7x + 10 < 11x + 2

To Find:

Solve and graph on a number line. Show your work in the box below.

Solve:

Subtract 10 from both sides

7x + 10 -10 < 11x + 2-10

Simplify

-4x < - 8

Multiply both sides by -1 which reverse the inequality

Simplify

4x > 8

Now, Divide both sides by 4

4x ÷ 4 > 8 ÷ 4

Simplify

x > 2

Solution: x > 2

Now graphing:

> means greater than

that means x is greater than 2

Thus, the line is going to the right.

Graph below: