This week in math we learned about solving quadradic inequalities in one variable. One thing that you must remember when solving inequalities is that if you are dividing by a negative, then you must switch the sign. For example if you are given a quadradic inequality like x² – 9x + 14 < 0, you would first factor the inequality into factored form so you can find the roots, and next you would make a number line and split it into three quadrants, and then add the roots which would be 2 and 7, next for each of the three quadrants you would do a test to see if that quadrant would give you values that are true or not. For this example you the middle quadrant that gives you true values but the two others do not. Your final solution to the inequality would be 2 < x < 7.

The picture bellow is of what I just went over: