Question

which of the following is a solution to the inequality below?
$7 < 11 - \frac{g}{14}$
$g = 28$
$g = 70$
$g = 84$
$g = 112$

Explanation:

Step1: Isolate the fraction term

Subtract 11 from both sides:
$7 - 11 < 11 - \frac{g}{14} - 11$
$-4 < -\frac{g}{14}$

Step2: Eliminate negative sign

Multiply both sides by -1 (reverse inequality):
$4 > \frac{g}{14}$

Step3: Solve for g

Multiply both sides by 14:
$4 \times 14 > g$
$56 > g$

Step4: Check valid options

Find $g < 56$ from choices.

Answer:

A. $g = 28$