Question

Which number line represents the solution of 4 - 3x > 13?

Answer 1

Answer:

$x<-3$

Step-by-step explanation:

Given inequality:

$4-3x>13$

In order to represent the solution on the number line, we will first solve the given inequality.

We have

$4-3x>13$

Subtracting both sides by 4.

$4-3x-4>13-4$

$-3x>9$

Dividing both sides by -3.

$\frac{-3x}{-3}<\frac{9}{-3}$ [On dividing both sides by a negative number the sign of the inequality reverses.]

$x<-3$

So, solution of this inequality will range from -3 to -∞

The number line is represented below.