Question

Solve (x - 2 < 5) ∩ (x + 7 > 6).

Ø
x < -1 x < 7
-1 < x < 7

Answer 1

x - 2 < 5 ⇒ x < 7

x + 7 > 6 ⇒ x > -1

Together, we have -1 < x < 7, which in set notation is

`\left\{x \mid -1 < x < 7\right\}`

(third choice)