select the correct answer. which inequality represents all the solutions of -5x + 5 ≥ 160 - 10x? a. x ≤ -33…
select the correct answer. which inequality represents all the solutions of -5x + 5 ≥ 160 - 10x? a. x ≤ -33 b. x ≥ 33 c. x ≥ 31 d. x ≤ 31
Answer
Answer:
C. $x\geq31$
Explanation:
Step1: Add 10x to both sides
$-5x + 10x+5\geq160-10x + 10x$ $5x + 5\geq160$
Step2: Subtract 5 from both sides
$5x+5 - 5\geq160 - 5$ $5x\geq155$
Step3: Divide both sides by 5
$\frac{5x}{5}\geq\frac{155}{5}$ $x\geq31$