# How do you determine whether the pair (-6,-9) is a solution to #y<= (x^2-6)/x#?

##### 1 Answer

Jan 11, 2017

The region of points (x, y), with

#### Explanation:

The given bordering curve

between its asymptotes x = 0 and x = y.

Algebraically, when x = -6,

y on the bordering hyperbola

So, the point

Illustrative graph is inserted.

graph{y-x+6/x<=0 [-30, 30, -15, 15]}