Question

Solve and graph the solution set of:

2x – 9 < 7 and 3x + 9 ≤ 25, x ∈ R

Answer 1

2x – 9 < 7 and 3x + 9 ≤ 25

2x < 16 and 3x ≤ 16

x < 8 and x ≤ `5 1/3`

∴ Solution set = `{x <= 5 1/3, x ∈ R}`

The required graph on number line is