Question

solve for q.
14q - 17 < 20 + 7q + 19
write your answer with q first, followed by an inequality symbol.

Explanation:

Step1: Combine like - terms on the right side

$14q - 17<7q + 39$

Step2: Subtract $7q$ from both sides

$14q-7q - 17<7q - 7q+39$
$7q - 17<39$

Step3: Add 17 to both sides

$7q-17 + 17<39 + 17$
$7q<56$

Step4: Divide both sides by 7

$\frac{7q}{7}<\frac{56}{7}$
$q < 8$

Answer:

$q<8$