Question

Which number line represents the solution set for the inequality –0.5x ≥ 4?

Answer 1

hello :
–0.5x ≥ 4...(1)
multip by -2 : x ≤ -8
number line represents the solution is :
-∞ـــــــــــــــــــــــــــــــــــــ[8-ــــــــــــــــــــــــــــــــــــ> +∞

Answer 2

The region to the left of -8 including -8 in the number line

Explanation:

Given in an inequality in variable x as

`-0.5x\geq 4`

To solve for x we divide by -0.5

Since we divide by a negative number we find that inequality is reversed.

`x\leq (4)/(-0.5) =-8`

So solution is

`x\leq -8`

Hence the solution is the region to the left of -8 in the number line.