Question

What is the solution set of x/4≤9/x?

Answer 1

I thin the answer is the last one. D

Answer 2

x≤-6 or 0<x≤6.Option D.

Explanation:

Given:

`(x)/(4) \leq (9)/(x).`

Subtract
`(9)/(x)` from both sides,

`(x)/(4)-(9)/(x) \leq` 0

Simplifying by taking common denominator:

`(x^2-36)/(4x)\leq`0

Factoring numerator:

`((x+6)(x-6))/(4x)\leq`0

Computing the signs and selecting that one satisfies ≤ 0:

x≤ -6,0<x≤6.

Option D is the right answer.