Question

WILL AWARD MEDAL How do you solve the inequality (x^2)(e^x) ln x > 0?? @nincompoop @Nnesha @zepdrix @jagr2713

Answer 1

well \(e^x>0\) for all \(x\), \(x^2>0\) for all \(x\ne 0\) and \(\ln(x)>0\) for all \(x>1\).

So ?

Answer 2

hint: the \(ln(x)\) factor trumps them all.

Answer 3

sorry i don't really understand where this is going.

Answer 4

@zzr0ck3r

Answer 5

These are things we can do without affecting the direction of the inequality: Add (or subtract) a number from both sides. Multiply (or divide) both sides by a positive number. Simplify a side.

Hoped this helped :)

Answer 6

What I am saying is that

\(x^2e^x\ln(x)>0 \iff \ln(x)>0\iff x>1\)