Question

solve the following inequality for r. write your answer in simplest form. -2r - 5(-5r + 9) ≤ 6r + 9 + 7

Explanation:

Step1: Expand left-hand side

$-2r +25r -45 \leq 6r +9 +7$

Step2: Simplify both sides

$23r -45 \leq 6r +16$

Step3: Isolate r terms

$23r -6r \leq 16 +45$

Step4: Calculate both sides

$17r \leq 61$

Step5: Solve for r

$r \leq \frac{61}{17}$

Answer:

$r \leq \frac{61}{17}$