INEQUALITIES 1

Find x if 7x – 21 ≤ x + 15 ≤ 6x.

Solution

7x – 21 ≤ x + 15 and  x + 15 ≤ 6x

7x – x ≤ 21+ 15 and  15 ≤ 6x - x

6x ≤ 36 (divide by 6 both sides) and  15 ≤ 5x (divide by 5 both sides)

x ≤ 6 and  3 ≤ x

x ≤ 6 and  x ≥ 3

TRY THIS……..

Find x if 4x – 31 ≤ x + 15 ≤ 6x.