INEQUALITIES 1

If 10x + 8 ≥ 7 + 3x ≥ 8x – 13; find x

Solution

10x + 8 ≥ 7 + 3x and  7 + 3x ≥ 8x - 13

10x – 3x ≤ 7 - 8 and  7 +13 ≤ 8x - 3x

7x ≤ 1 and  20 ≤ 5x

7x ≤ 1  and  20 ≤ 5x

7       7         5       5

x ≤ ¹/7 and   4 ≤ x

x ≤ ¹/7 and  x  ≥4

TRY THIS…………….

If 14x + 26 ≥ 7 + 3x ≥ 11x – 20; find x