Question

What is the solution set of x over 4 less than or equal to 9 over x?

Answer 1

we have

`(x)/(4)\leq\text{ }(9)/(x)`

Multiply in cross

`x^2\leq36`

square root both sides

`(\pm)x\leq6`

see the attached figure to better understand the problem

the solution is the interval {-6,6}

the solution in the number line is the shaded area at right of x=-6 (close circle) and the shaded area at left of x=6 (close circle)