Answer:
A) {x | -1 < x < 7}
Step-by-step explanation:
Given in the question two inequalities,
Inequality 1
(x - 2 < 5)
x < 5 + 2
x < 7
x is smaller than 7
Inequality 2
(x + 7 > 6)
x > 6 - 7
x > -1
x is greater then -1
When (x - 2 < 5) U (x + 7 > 6).
(x < 7) U (x > -1)
-1 < x < 7
When combined, x is greater than -1 but smaller than 7
