Solve (x + 3 < 5) U (x - 7 > 1). 2 < x < 8 O/ x < 2 or x > 8

Question

Solve (x + 3 < 5) U (x - 7 > 1).

2 < x < 8

O/

x

Answer 1

x < 2 or x > 8

Explanation:

Given the expression

(x + 3 < 5) U (x - 7 > 1).

Solve x+3 < 5

Subtract 3 from both sides

x+3 - 3 < 5-3

x < 2

For x - 7 > 1

Add 7 to both sides

x-7+7 > 1 + 7

x > 8

Hence the union of both is x < 2 or x > 8