# How do you solve the inequality #6x^2-5x>6#?

##### 1 Answer

I would start by solving it as a normal equation (2nd degree). So you write:

Solving your equation you should get two values

Now the tricky bit:

your inequality asks you for values of

They cannot be

Graphically your function gives the following parabola:

graph{6x^2-5x-6 [-11.96, 13.02, -7.14, 5.34]}

So, basically I have to choose values that are outside the boundaries formed by the two values

Consider

If I put

Consider now

If I put

So, OUTSIDE the interval bound by

You express this by writing your solution as:

Or graphically

Hope it helps