INEQUALITIES 1

If 10x + 21 ≥ 7 + 3x ≥ 9x – 59; find x.

Solution

10x + 42 ≥ 7 + 3x and  7 + 3x ≥ 9x - 59

10x – 3x ≤ 7 - 42 and  7 +59 ≤ 9x - 3x

7x ≤ -35 and  66 ≤ 6x 

7x ≤ -35  and  66 ≤ 6x   [after dividing by 7 and 6 both sides respectively]

7        7            6       6

x ≤ -5 and  11 ≤ x

x ≤ -5 and  x  ≥ 11

TRY THIS…………….

If 10x - 49 ≥ 7 + 3x ≥ 9x – 53; find x