Carcass wrote:
If x is an integer and y = –2x – 8, what is the least value of x for which y is less than 9?
(A) –9
(B) –8
(C) –7
(D) –6
(E) –5
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITIONGRE - Math BookIn other words, find the smallest INTEGER value of x such that -2x - 8 < 9
Take: -2x - 8 < 9
Add 8 to both sides to get: -2x < 17
Divide both sides by -2 to get: x > -8.5
[NOTE: since we divided by a NEGATIVE value, we reversed the inequality symbol]The smallest INTEGER that's greater than -8.5 is -8
Answer: B