This week in pre-calculus 11, we learned how to solve quadratic inequalities and graph them. This was a review from last year’s math.

y=mx+b is the equation used for linear graphs, which are graphs with straight lines that increase or decrease by the same number each time. b is the y-intercept, and m represents the slope of the graph.

A quadratic inequality is just like a quadratic equation, but instead of an equal sign, there’s an equality.

*always flip signs when dividing by a b=negative number

Solving the Inequality:

1. Factor the inequality
2. Find the Values of x
3.  select numbers in between the x values and test it in the inequality

Graphing

*the value of a in = a +b + c, can tell us if the graph opens up or down, which tells us the positive and negative values of the quadratic inequality when the it intercepts with x.

signs:

• ≥ greater than or equal to has a line, shaded dot
• ≤ less than or equal to has a line, shaded dot
• > greater than has a dotted line, unshaded dot
• <less than has a dotted line, unshaded dot