INEQUALITIES 1

If 10x + 8 ≥ 7 + 3x ≥ 9x – 10; find x.

Solution

10x + 8 ≥ 7 + 3x and  7 + 3x ≥ 9x - 10

10x – 3x ≤ 7 - 8 and  7 +10 ≤ 9x - 3x

7x ≤ 1 and  17 ≤ 6x

7x ≤ 1  and  17 ≤ 6x

7      7           6      6

x ≤ ¹/7 and  ¹⁷/6 ≤ x

x ≤ ¹/7 and  x  ≥ ¹⁷/6

TRY THIS…………….

If 12x + 8 ≥ 7 + 3x ≥ 9x – 20; find x