Question

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

7 (x + 2) −8 ≥ 13 AND 8x − 3 < 4x − 3

Answer 1

The answer to your question is below

Explanation:

Inequality 1

7(x + 2) - 8 ≥ 13

7x + 14 - 8 ≥ 13

7x + 6 ≥ 13

7x ≥ 13 - 6

7x ≥ 7

x ≥ 7/7

x ≥ 1

Inequality 2

8x - 3 < 4x - 3

8x - 4x < - 3 + 3

4x < 0

x < 0 / 4

x < 0

Interval notation (-∞ , 0) U [1, ∞)

See the graph below