Question

solve for r.
2(9 + 13r) ≤ 5(6r - 2)
write your answer with r first, followed by an inequality symbol.

Explanation:

Step1: Expand both sides

$2\times9 + 2\times13r\leq5\times6r-5\times2$
$18 + 26r\leq30r - 10$

Step2: Move terms with r to one - side

$26r-30r\leq - 10 - 18$

Step3: Combine like - terms

$-4r\leq - 28$

Step4: Solve for r

When dividing both sides by - 4, reverse the inequality sign. So $r\geq\frac{-28}{-4}$
$r\geq7$

Answer:

$r\geq7$