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solve for r. 20 + 7r ≥ 5r - 14 write your answer with r first, followed…

Question

solve for r.
20 + 7r ≥ 5r - 14
write your answer with r first, followed by an inequality symbol.

Explanation:

Step1: Subtract 5r from both sides

$20 + 7r-5r\geq5r - 14-5r$
$20 + 2r\geq - 14$

Step2: Subtract 20 from both sides

$20 + 2r-20\geq - 14-20$
$2r\geq - 34$

Step3: Divide both sides by 2

$\frac{2r}{2}\geq\frac{-34}{2}$
$r\geq - 17$

Answer:

$r\geq - 17$