Question

solve the inequality for x.
11 - (9x)/4 ≤ 7
simplify your answer as much as possible.

Explanation:

Step1: Subtract 11 from both sides

$11 - \frac{9x}{4} - 11 \leq 7 - 11$
$-\frac{9x}{4} \leq -4$

Step2: Multiply both sides by -4 (reverse inequality)

$-\frac{9x}{4} \times (-4) \geq -4 \times (-4)$
$9x \geq 16$

Step3: Divide both sides by 9

$\frac{9x}{9} \geq \frac{16}{9}$
$x \geq \frac{16}{9}$

Answer:

$x \geq \frac{16}{9}$