Question

Solve, graph, and give interval notation for the inequality:

4(3x − 4) < 32 AND 2x + 1 ≤ 8x + 25

Answer 1

The answer to your question is

Explanation:

Inequality 1

4(3x - 4) < 32

12x - 16 < 32

12x < 32 + 16

12x < 48

x < 48/12

x < 4

Inequality 2

2x + 1 ≤ 8x + 25

2x - 8x ≤ 25 - 1

- 6x ≤ 24

x ≥ 24/-6

x ≥ - 4

- See the graph below

- Interval [-4, 4)