Hlp! options: A. x\leq -5 B. x\geq -5 C.x\geq 2 D.x=4

Question

Hlp!

options:
A.
`x\leq -5`
B.
`x\geq -5`
C.
`x\geq 2`
D.
`x=4`

Answer 1

Option B

x ≥ (-5)

Explanation:

Given;

• -3(x + 4) ≥ x + 8

So,

-3(x + 4) ≥ x + 8

-3x – 12 ≥ x + 8

Add both sides 12 we get,

-3x – 12 + 12 ≥ x + 8 + 12

-3x ≥ x + 20

Similarly, subtract x from both sides we get,

-3x – x ≥ x – x + 20

-4x ≥ 20

Then, divide both sides by (-4) we get,

-4x/(-4) ≥ 20/(-4)

x ≥ -5

Thus, The answer is x ≥ (-5).