INEQUALITIES 1

If 3x – 3 ≤ x + 15 ≤ 6x ; find x

Solution

3x – 3 ≤ x + 15 and  x + 15 ≤ 6x

3x – x ≤ 3+ 15 and  15 ≤ 6x - x

2x ≤ 18(divide by 2 both sides) and  15 ≤ 5x (divide by 5 both sides)

x ≤ 9 and  3 ≤ x

  

x ≤ 9 and  x ≥ 3 

TRY THIS...........

If 4x – 3 ≤ x + 36 ≤ 13x ;  find x