GRE · Quantitativeaptitude · Inequalities — Quick T/F

Exercise and reference answers

Questions

1. Statement is true

   No

   Statement

   Multiplying both sides of x > 5 by −1 gives −x > −5.

2. Statement is true

   Yes

   Statement

   If x > 5, then x² > 25.

3. Statement is true

   Yes

   Statement

   |x − 3| < 2 means 1 < x < 5.

4. Statement is true

   Yes

   Statement

   If a < b and b < c, then a < c.

5. Statement is true

   Yes

   Statement

   If x ≥ 0, then |x| = x.

6. Statement is true

   Yes

   Statement

   Dividing both sides by a negative reverses the inequality.

Instructions

Decide each inequality fact.