Question

1 which is a solution to $-2x - 4 > 2$? a. $x = -4$ b. $x = -3$ c. $x = -1$ d. $x = 3$

Explanation:

Step1: Isolate the variable term

Add 4 to both sides:
$-2x - 4 + 4 > 2 + 4$
$-2x > 6$

Step2: Solve for x

Divide by -2 (reverse inequality):
$\frac{-2x}{-2} < \frac{6}{-2}$
$x < -3$

Step3: Check options

Find x less than -3:

• A. $x=-4$: $-4 < -3$ (valid)
• B. $x=-3$: $-3

less -3$ (invalid)

• C. $x=-1$: $-1

less -3$ (invalid)

• D. $x=3$: $3

less -3$ (invalid)

Answer:

A. $x = -4$