Solving Inequalities

Clear the parentheses using distribution Combine variable terms

To keep from having to multiply or divide by a negative number, make sure the final variable term has a positive coefficient

Add/subtract to get constant term isolated Multiply/divide to isolate the variable

If you multiply or divide by a negative number, you must flip the inequality sign

Inequalities are solved for x using the same steps as equations.

For final numeric solutions to match the direction

of the graphic solution, the variable should be on the left side of the inequality.

‘Flip’ the inequality if needed, but make sure to keep the correct order of the inequality.

Inequalities are solved for x using the same steps as equations.

Solutions can be written:

Verbally x greater than three

Symbolically x > 3

Graphically .

Inequalities are solved for x using the same steps as equations.

More Examples

(double back R) means all real numbers are a

solution. Shown graphically

Symbols used in Special Cases

⟷ means no solution (no numbers cause the

statement to be true) No graph, since no numbers work