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!!!