February 8th February 8th ## Solving Inequalities with Fractions and ParenthesesAfter studying this lesson, you will be able to: - Solve inequalities with fractions and parentheses.
Below are the steps for solving inequalities. Remember we are applying the same rules as we did for equations. If an inequality contains fractions, the fractions can be cleared out by multiplying every term in the inequality by the common denominator. Also, if an inequality contains parentheses, the parentheses can be removed by using the distributive property. If we multiply or divide an inequality by a negative, we reverse the inequality symbol. The steps for solving inequalities are the same as those for solving equations: 1. Remove parentheses and clear fractions (if necessary) 2. Collect like terms on each side of the inequality symbol 3. Get the variables together on one side 4. Isolate the variable 5. Check
Check by substituting into the original inequality
Check by substituting into the original inequality
Check by substituting into the original inequality |

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