Which of the following is equivalent to the pair of inequalities x + 6 > 10 and x - 3 ≤ 5?

Question: Which of the following is equivalent to the pair of inequalities x + 6 > 10 and x - 3 ≤ 5?

Solution:
x + 6 > 10
⇒ x > 4

x - 3 ≤ 5
⇒ x ≤ 8

Bringing these two inequalities together we get:
4 < x ≤ 8