Question

Solve the compound inequality

Answer 1

Given inequality:

• -5r + 7 ≥ -7 - 6r ≥ 4r + 3

Solve in parts:

• -5r + 7 ≥ -7 - 6r ⇒ 6r - 5r ≥ -7 - 7 ⇒ r ≥ -14
• -7 - 6r ≥ 4r + 3 ⇒ 4r + 6r ≤ -7 - 3 ⇒ 10r ≤ -10 ⇒ r ≤ -1

Combine into one:

• -14 ≤ r ≤ -1

or

• r = [-14, -1]