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Solving Rational Equations and Inequalities

Learn to solve rational inequalities by multiplying terms with LCD, considering solution cases. Practice solving examples with checks.

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Solving Rational Equations and Inequalities

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

  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.

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

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

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

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

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

  8. Lesson 6.5 Practice C

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