Question

Which of the following inequalities has no solutions?

Ox>3 and x < 2
Ox>3 and x < -2
Ox>3 and x < 2
Ox>3 and x > - 2

Answer 1

• A) x > 3 and x < 2 has no solutions

Explanation:

Given inequalities below and we are looking for a pair with no solution.

Let's verify:

A) x > 3 and x < 2,

• It has no solutions since the two inequalities have no common interval.

B) x > - 3 and x < - 2,

• Its solution is -3 < x < - 2, the interval between two given endpoints.

C) x > - 3 and x < 2,

• Similar to option B, the interval is between two endpoints:

• - 3 < x < 2

D) x > - 3 and x > - 2,

• Its solution is x > - 2, the two inequalities cover almost same interval.