Question

Which number line represents the solution set for the inequality –x ≥ 4?

Answer 1

-x >= 4
Divide by -1
Note: When dividing by negative, the sign changes
x =< -4

Hope it helped!

Answer 2

Explanation:

Given is an inequality that
`-x\geq 4`

To find the number line that represents the above inequality

First we must solve the inequality with positive x on one side

Given inequality is

`-x\geq 4`

To solve for x we must get x on left side

Hence divide by -1. Since when we divide/multiply by a negative number inequality gets reversed we get

`x\leq- 4`

is the solution.

i.e. the number line representing the region to the left of -4 including the value of -4