Rational Inequalities Worksheets
What Are Rational Inequalities? An inequality which contains a rational expression is better known as rational inequality. The trick to dealing with rational inequalities is to always work with zero on one side of the inequality. A rational expression changes its sign only at its zeros and its undefined values. Just as there are four properties of equality, there are also four properties of inequality, Addition Property, Subtraction Property, Multiplication Property, and the Division Property of Inequality.
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Basic Lesson
Guides students solving equations that involve an Rational Inequalities. Demonstrates answer checking. Express graphically (3x + 17)/(1 - x) ≤ 2
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Independent Practice 1
A really great activity for allowing students to understand the concepts of Rational Inequalities.
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Independent Practice 2
Students find a series of Rational Inequalities in assorted problems. The answers can be found below.
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Homework Worksheet
Students are provided with problems to achieve the concepts of Rational Inequalities.
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Engineers vs. Physicists
An engineer thinks that his equations are an approximation to reality. A physicist thinks reality is an approximation to his equations. A mathematician doesn't care.