9.6 Solving Rational Equations and Inequalities. Solve the Rational Equation Check your Solution What is the Common Denominator of 24, 4 and (3 – x) 4.

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Presentation transcript:

9.6 Solving Rational Equations and Inequalities

Solve the Rational Equation Check your Solution What is the Common Denominator of 24, 4 and (3 – x) 4 divides into 24 so the number part is 24, we do not know about (3 – x), so we multiply to 24. Common Denominator is 24(3-x)

Solve the Rational Equation Check your Solution What Does the Rational Expression need to have a Denominator of 24( 3 – x)?

Solve the Rational Equation Check your Solution Since they all have a common denominator, we only worry about the numerators being equal.

Solve the Rational Equation Check your Solution. Does the answer make the denominator equal zero?

Solve the Rational Equation Check your Solution.

Solve the Rational Equation Check your Solution.

Solve the Rational Equation Check your Solution.

Solve the Rational Equation Check your Solution.

Solve the Rational Equation Check your Solution.

Solve the Inequalities Remember to be careful with multiply (negative number changes the direction of the inequality)

Solve the Inequalities Multiply by the LCM which is 9x.

Solve the Inequalities Was there any excluded values?

Solve the Inequalities Was there any excluded values?YES

Solve the Inequalities Using the exclude value and the solution Make a Number line. Test the values between the dotted lines.

Solve the Inequalities Using the exclude value and the solution Make a Number line. Test the values between the dotted lines.

Solve the Inequalities Using the exclude value and the solution Make a Number line. Test the values between the dotted lines.

Solve the Inequalities Using the exclude value and the solution Make a Number line. Test the values between the dotted lines.

Homework Page 510 # 11 – 29 odd

Homework Page 510 # 12 – 30 even