What's the solution to the compound inequality 3x - 8 5

3x - 8 5

Start with 3x - 8 < - 5

add 8 to both sides

3x - 8 + 8 < - 5 + 8

3x < 3

divide both sides by 3

x < 1

2x - 7 > 5

add 7 to both sides

2x - 7 + 7 > 5 + 7

2x > 12

divide both sides by 2

x > 6

Solution: x 6

( - infinity, 1) U (6, infinity) in interval notation