Question

(x+ 5 < 4) n (x-3>-6).

Answer 1

-3 < x < -1 → x∈(-1, -3)

Explanation:

(1)

x + 5 < 4 subtract 5 from both sides

x + 5 - 5 < 4 - 5

x < -1

(2)

x - 3 > -6 add 3 to both sides

x - 3 + 3 > -6 + 3

x > -3

From (1) and (2) we have

x < -1 and x > -3 → -3 < x < -1 → x∈(-1, -3)