Question

Solve the compound inequality 2u-5>7 or -3u≤-6

Answer 1

u ≥ 2

Explanation:

2u-5>7 :

Add 5 to both sides:

2u = 7 + 5

2u > 12

Divide by 2:

u > 6

-3u ≤ -6

Multiply both sides by -1, inequality reverses
-3u(-1) ≥ -6(-1)

3u ≥ 6

Divide by 3:

u ≥ 2

Since u > 6 is a subset of u ≥ 2, the interval for both inequalities is

u ≥ 2