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

Answer:

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

Step-by-step 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.

$x\leq \frac{4}{-0.5} =-8$

So solution is

$x\leq -8$

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