Question

What is the solution set of x/4 is less than 9/x?

Answer 1

D

Explanation:

`(x)/(4)\leq (9)/(x) \\x\leq (36)/(x) \\let x<0\\x^2\geq 36\\|x|\geq 6\\x\leq -6~and ~x\geq 6\\but~x<0\\so~x\leq -6\\again~let~x> 0\\\\x\\eq ~0\\x^2\leq 36\\|x|\leq 6\\-6\leq x\leq 6\\as~x>0\\so~0< x\leq 6`

combininig the two cases

x≤-6 and 0<x≤6