Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

I keep trying to solve it but I seem to be making an error somewhere: $$4-\left|\frac{5y}{3}+4\right| > \frac25$$

share|cite|improve this question
The big hint is that $|a|<b\Longleftrightarrow -b<a<b$. This is all that is needed here. – Andrés E. Caicedo Dec 22 '10 at 2:48
up vote 4 down vote accepted

$4-\left|\frac{5y}{3}+4\right| > \frac25$ can be rewritten as $-\left|\frac{5y}{3}+4\right| > \frac{-18}{5}$ or $\left|\frac{5y}{3}+4\right| < \frac{18}{5}$. From here, represent the expression as $\frac{-18}{5} < \frac{5y}{3}+4\ < \frac{18}{5}$ and proceed to solve it using arithmetic.

share|cite|improve this answer
you accidentally left the absolute value there in the last line – Zarrax Dec 22 '10 at 3:42
Thanks, I corrected it – InterestedGuest Dec 22 '10 at 3:54

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.