Question

Solve the inequality. 1. x + 19.3 ≤ 72.82. 41.78 < 2x 3. 7.5x ≥ 25.5 4. 91 ≤ x + 265. x/4 < 8.4 6. 60 < 0.5x 7. x - 2.3 < 6.68. x + 2.3 ≤ 5.7

Answer 1

1. x + 19.3 ≤ 72.8

Grouping of the terms will yield

x ≤ 72.8 - 19.3

x ≤ 53.5

2. 41.78 < 2x

Divide both sides by 2

41.78/2 < 2x/2

20.89 < x

x > 20.89

3. 7.5x ≥ 25.5

Divide both sides by 7.5

7.5x/7.5 ≥ 25.5/7.5

x ≥ 3.4