Rational Inequalities Answers

The expression is equal to zero when x = .

The inequality simplifies toWhich inequality is equivalent?

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For test point x = 2, the inequality is .

The expression is undefined when x =

Rewrite the inequality with zero on one side and one rational expression on the other. What is the first step?

What is the simplified form of the inequality?

Suppose you ride your bike uphill to work at a speed of at least x mph. Going downhill on the way home, your speed is 5 mph faster. Your average speed to and from work is at least 12 mph. Which is the correct inequality to model the situation?

Consider the inequality from the previous slide: Identify the critical point(s).

Use the critical points to determine the test regions. What are possible test points?

1 3 + 1 6 1 x

Type in true or false for each statement.For test point x = –2, the inequality is .

Identify the graph of the solution set.

Reread your description. Which important information did you include?

The solution is:

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For test point x = , the inequality is .

For test point x = , the inequality is .