Rational Inequalities

Question 1

The expression is equal to zero when x =✔ 3 and –39 and 94 and 2–4 and –2.

Revolt · Accepted Answer

✔ 3 and –3

Question 2

The expression is undefined when x = 3 and –39 and –94 and 2✔ –4 and –2.

Revolt · Accepted Answer

✔ –4 and –2

Question 3

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

Revolt · Accepted Answer

–5; –3.5; –2.5; 0; 5

Question 4

The inequality can be factored as: Test points for the intervals are shown. Select the test points that make the inequality true.

Revolt · Accepted Answer

x = –5; x = 5

Question 5

Which inequality is the same as

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-08-10-20-04-task/mc001-3.jpg

Question 6

Describe the steps you would use to solve the following inequality:

Revolt · Accepted Answer

Rewrite the inequality so there is a single rational expression on one side, and 0 on the other. Combine under a common denominator. Test points in the critical regions. Construct the solution.

Question 7

Solve:

Revolt · Accepted Answer

x > 4

Question 8

Solve the inequality and write the solution in interval notation:

Revolt · Accepted Answer

(-5, 6)

Question 9

Solve the inequality. Which intervals are included in the solution? Check all that apply.

Revolt · Accepted Answer

(0, 4]; (10, 30]

Question 10

Identify the graph of the solution set of:

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-08-10-20-03-task/mc001-2.jpg

Rational Inequalities Answers

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