Question

Solve (x + 2 < 5) ∩ (x - 7 > -6).

1. 1 < x < 3
2. x < 3 or x > 1
3. {all real numbers}

Answer 1

1. 1 < x < 3

Explanation:

x + 2 < 5 subtract 2 from both sides

x + 2 - 2 < 5 - 2

x < 3

x - 7 > -6 add 7 to both sides

x > 1

From x < 3 and x > 1 we have 1 < x < 3