Question

Use the drawing tools to form the correct answer on the number line.

Answer 1

Answer:

We conclude that

$3x-11>7x+9\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x$

Please check the attached diagram which shows the solution on the number line.

Step-by-step explanation:

Given the inequality

$3x-11>7x+9$

Add 11 to both sides

$3x-11+11>7x+9+11$

Simplify

$3x>7x+20$

Subtract 7 from both sides

$3x-7x>7x+20-7x$

Simplify

$-4x>20$

Multiply both sides by -1 (reverses the inequality)

$\left(-4x\right)\left(-1\right)$

Simplify

$4x$

Divide both sides by 4

$\frac{4x}{4}$

Simplify

$x$

Therefore, we conclude that

$3x-11>7x+9\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x$

Please check the attached diagram which shows the solution on the number line.