Question

Which inequality has the solution set x < -2 or x > 2?

1) x < -2 and x > 2
2) x < -2 or x > 2
3) x > -2 and x < 2
4) x > -2 or x < 2

Answer 1

The inequality with the solution set x < -2 or x > 2 is the second option, which correctly represents the disjunction of the two conditions.

Step-by-step explanation:

The inequality that has the solution set x < -2 or x > 2 is represented by the second option:

• x < -2 or x > 2

This means that the variable x can be any number less than -2 or greater than 2. The first option, x < -2 and x > 2, does not make sense because it suggests that x should be simultaneously less than -2 and greater than 2, which is impossible. The third and fourth options represent different inequalities altogether.