INEQUALITIES D1

If 11x + 7 ≥ 16 + 7x ≥ 15x – 12; find x.

Solution

11x + 7 ≥ 16 + 7x and  16 + 7x ≥ 15x – 12

11x – 7x ≤ 16 - 7  and  15 +12 ≤ 15x - 7x

4x ≤ 9 and  27 ≤ 8x 

4x ≤ 9  and  27 ≤ 8x

4      4           8      8

x ≤ ⁹/4 and  ²⁷/8 ≤ x

x ≤ ⁹/4   and  x  ≥ ²⁷/8

TRY THIS………………….

If 11y + 7 ≥ 16 + 7y ≥ 15y – 17; find y.