INEQUALITIES 1

Find x if 5x – 29 ≤ x + 15 ≤ 6x.

Solution

5x – 29 ≤ x + 15 and  x + 15 ≤ 6x

5x – x ≤ 29+ 15 and  15 ≤ 6x - x

4x ≤ 44 (divide by 4 both sides) and  15 ≤ 5x (divide by 5 both sides)

x ≤ 11 and  3 ≤ x

x ≤ 11 and  x ≥ 3 answer

TRY THIS……..

Find x if 6x – 55 ≤ x + 15 ≤ 2x.