Essential Questions Solving Rational Equations and Inequalities

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Presentation transcript:

Essential Questions Solving Rational Equations and Inequalities How do we solve rational equations and inequalities? Holt McDougal Algebra 2 Holt Algebra 2

A rational inequality is an inequality that contains one or more rational expressions. You can solve rational inequalities algebraically by multiplying each term by the least common denominator (LCD) of all the expressions in the inequality. However, you must consider two cases: the solution and the undefined variable.

Solving Rational Inequalities Algebraically Solve the inequality. Note that x ≠ 6. Multiply each term by x - 6. Solve for x. l l Check 0 Check 7 Check 10

Solving Rational Inequalities Algebraically Solve the inequality. Note that x ≠ 3. Multiply each term by x - 3. Solve for x. l l Check 0 Check 3.5 Check 5

Solving Rational Inequalities Algebraically Solve the inequality. Note that x ≠ 8. Multiply each term by x - 8. Solve for x. l l Check 0 Check 9 Check 11

Solving Rational Inequalities Algebraically Solve the inequality. Note that x ≠ 2. Multiply each term by x - 2. Solve for x. l l Check 0 Check 1 Check 3

Solving Rational Inequalities Algebraically Solve the inequality. Note that x ≠ -3. Multiply each term by x + 3. Solve for x. l l Check -4 Check -2 Check 0

Lesson 6.5 Practice C