Question

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

Answer 1

Answer:

Step-by-step 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

Answer 2

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

Hope it helped!