Question

If the statement 4 > 3 is true, which of the following are true about the relationship between –4 and –3? Check all that apply.
–4 < –3
The inequality changes from greater than to less than because -4 is less than -3.
–4 > –3
The greater than inequality holds true even when the opposites of 4 and 3 are used.
–4 = –3

Answer 1

True:
- –4 < –3
- "The inequality changes from greater than to less than because -4 is less than -3." (Taking opposites reverses the inequality.)

False:
- –4 > –3
- "The greater than inequality holds true even when the opposites of 4 and 3 are used."
- –4 = –3

Reason: multiplying both sides of 4 > 3 by -1 reverses the inequality, giving -4 < -3.