Solve (x - 2 < 5) U (x + 7 > 6). A) -1 < x < 7 B) {all real numbers} C) Ø

Question

Solve (x - 2 < 5) U (x + 7 > 6).

A) x
B) {all real numbers}
C) Ø

Answer 1

A) -1 < x < 7

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