Question

Which inequality is true when the value of zz is 99?
Answer
Multiple Choice Answers
z, minus, 2, is less than, minus, 3z−2<−3
minus, z, minus, 2, is less than, minus, 3−z−2<−3
minus, z, minus, 2, is greater than, 3−z−2>3
minus, z, minus, 2, is greater than, minus, 3−z−2>−3

Answer 1

Plug z = 99 into each inequality.

1) z − 2 < −3 → 99 − 2 = 97, and 97 < −3 is false.
2) −z − 2 < −3 → −99 − 2 = −101, and −101 < −3 is true.
3) −z − 2 > 3 → −101 > 3 is false.
4) −z − 2 > −3 → −101 > −3 is false.

So the true inequality is: −z − 2 < −3 (option 2).