Week 11 – solving inequalities

This week in Math, we learned how to solve quadratic inequalities.

Ex. x^2+2x<8

Get the 0 on one side: x^2+2x-8<0

If we think of this inequality as a parabola on a graph, we would have to find the zeros to determine when the parabola is negative (because it cannot be bigger than zero).

Factor: (x+4)(x-2)<0

zeros: -4, 2

Because we know that the parabola is opening up and that there are two solutions, our answer would have to be when the parabola is in the negative part of the graph.

Therefore,

-4<x<2