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Thursday, November 8, 2012

A quick guide to inequalities

Make sure you know your symbols:
< - less than
> - greater than
< - less than or equal to
> - greater than or equal to

To graph an inequality, use an open dot for > and <. Use a closed dot for > and <.

Use the same rules for solving equations to solve an inquality (get the variable by itself by using the inverse operation) - just be sure that you're not using an equals sign (use the inequality symbol instead).

*VERY IMPORTANT*: When multiplying or dividing each side of an inequality by a negative number, reverse the direction of the inequality symbol!!!

Example:

-3x < 12    ---> We need to divide both sides by -3 in order to get x by itself.

-3x < 12   
-3      -3

x > -4       ---> Be sure to FLIP the inequality sign!!!