Question

Which is true for x in the equation?

–5x − 2 ≤ –3x − 8

A. x ≤ –3
B. x ≥ –3
C. x ≥ 3
D. x ≤ 3
Please explain as you would to a kid. Thank you

Answer 1

-5x - 2 ≤ -3x - 8

5x + 2 ≥ 3x + 8 (multiply both sides by -1, and flip the inequality sign)

2x + 2 ≥ 8 (subtract 3x from both sides)

2x ≥ 6 (subtract 2 from both sides)

x ≥ 3 (divide both sides by 2)