Quadratic inequations

To solve a quadratic inequation:

–Obtain an equivalent inequation with all the monomials in one side (like in quadratic equations).

–Solve the quadratic equation.

–The solutions divide the real number line into pieces. Then, try one value from each piece and, if the inequation is true, the whole piece is a solution.

–Try the solutions of the equation and write the whole solution.

Example 1:

Example 2:

Example 3:

Example 4:

 

Exercise. Solve the following quadratic inequations:

 

 

 

 

Solutions: a) (-∞,-1]U[4,∞); b) 3/2; c) (-∞,∞)