Question

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

Answer 1

`x<-3`

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.

`(-3x)/(-3)<(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.