Quadratic Inequalities

Question 1

What is a quadratic inequality

Answer 1

An equation that uses a greater than or less than sign rather than an equal sign

Question 2

How do we solve quadratic inequalities

Answer 2

First we need to solve as usual, using factorisation
We then place the two points onto a small sketched out graph

Now highlight the region we are trying to find

If the equation is <0
Write in the form y<x<y
Where the smallest value would come first

If the equation is >0
X<y (the smallest value)
X>y

Question 3

What is an easy way to remember what the sign will be

Answer 3

If x>0 its ‘above ground’
If x<0 its ‘below ground’

‘ground’ is the x axis
Always highlight the lines.

Remember when in the negatives x<1 would give -2, -3 etc as values