Question

solve the following inequality for q. write your answer in simplest \\(4q + 2 < 6q - 5\\)

Explanation:

Step1: Subtract $4q$ from both sides

$4q + 2 - 4q < 6q - 5 - 4q$
$2 < 2q - 5$

Step2: Add 5 to both sides

$2 + 5 < 2q - 5 + 5$
$7 < 2q$

Step3: Divide by 2 on both sides

$\frac{7}{2} < q$

Answer:

$q > \frac{7}{2}$