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

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

Question 4

Which inequality is the same as

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

Question 5

The solution to is:

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-08-10-20-04-task/mc002-2.jpg

Question 6

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

Revolt · Accepted Answer

Subtract 2 from both sides and combine over a common denominator to obtain (7 − 3x)/(2x − 3) > 0. Identify the critical values x = 3/2 and x = 7/3, then test the intervals they create. The expression is positive on (3/2, 7/3), so the solution is (3/2, 7/3); exclude the endpoints because the inequality is strict and the denominator is zero at x = 3/2.

Question 7

Solve:

Revolt · Accepted Answer

x > 4

Question 8

Solve:

Revolt · Accepted Answer

–2 < x < 4

Question 9

Solve the inequality and write the solution in interval notation:

Revolt · Accepted Answer

(-5, 6)

Question 10

Solve the inequality and write the solution in interval notation:

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-08-10-20-07-task/mc002-3.jpg

Rational Inequalities Answers

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