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Solving Quadratic Inequalities

Review – Linear Inequalities

Solve

Review – Interval Notation and Graphs

Review – Solutions of Quadratic
Equations and Graph of Parabola

How do the solutions of a quadratic equation relate to
the graph of the associated parabola?

 
Quadratic Inequalities – Use graph to solve.

Quadratic Inequalities – Solve by hand.


Steps to Solve Quadratic Inequalities

1) Solve associated equation.

2) Place these numbers on the number line.

3) Test a number from each region formed by
the boundary numbers. shade true regions.

4) Determine sign to go on boundary numbers infinity gets()
(parentheses or brackets).

5) Write solution in interval notation.

Another example

Using the calculator to check work

Another Example

Use calculator to check

Use calculator to check work

 

Graph y = (x − 3)2 + 4
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