Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Re: What is the greatest integer that does NOT satisfy 3(x – 9) [#permalink]
04 Mar 2018, 14:15

Expert's post

Explanation

The given inequality is equivalent to \(3x - 27 < 11x - 2\), which becomes \(-8x < 25\).

Dividing both sides by –8 (and flipping the inequality sign), you get \(x > \frac{-3}{8}\).

Therefore, any number that is greater than -3 \(\frac{-3}{8}\) will satisfy the inequality, so the greatest integer that does not satisfy it is \(x = -4\), choice (A).
_________________

Sandy If you found this post useful, please let me know by pressing the Kudos Button