Question

Which inequalities have no solution? Check all of the boxes that apply. 1. x > x 2. –3x –3x 3. –4 + x > –2 + x 4. x – 2 < x + 3

Answer 1

Answer:

1, 3

Step-by-step explanation:

1. x > x

Technically, one number cannot be more than itself. It can only equal to itself.

3. –4 + x > –2 + x

If you minus x from both sides of the equation, it becomes:

-4 > -2

This is not true no matter what x is, thus it has no solution.

4. x – 2 < x + 3

If you add 2 on both sides, it becomes:

x < x + 5

This inequality is possible and has infinitely many solutions.

Note: I will update this answer and address Question 2 once the inequality sign is given :)