Question

Solve the inequality.

Answer 1

Answer:

B: $x>\frac{3}{2}$

Step-by-step explanation:

$12\left(\frac{1}{2}x-\frac{1}{3}\right)>8-2x$

Expand:

$6x-4>8-2x$

Add 4 to both sides:

$6x-4+4>8-2x+4$

$6x>-2x+12$

Add 2x to both sides:

$6x+2x>-2x+12+2x$

$8x>12$

Divide both sides by 8:

$\frac{8x}{8}>\frac{12}{8}$

Hence, $x>\frac{3}{2}$ (Option B)

Answer 2

Answer:

B. x>  3 /2

Step-by-step explanation: