Rational Inequalities

Question 1

Which graph shows the solution set of ?

Revolt · Accepted Answer

mc011-5.jpg

Question 2

Which graph shows the solution set of the inequality ?

Revolt · Accepted Answer

mc014-5.jpg

Question 3

Two hoses are filling a pool. The first hose fills at a rate of x gallons per minute. The second hose fills at a rate of 15 gallons per minute less than the first hose. To meet the pool maintenance company’s schedule, the pool needs to fill at a combined rate of at least 10 gallons per minute. The inequality represents the combined rates of the hoses:Which answer choice includes all solutions to the inequality and identifies which interval(s) contain viable filling rates for the hoses?

Revolt · Accepted Answer

; only contains viable rates for the hoses

Question 4

What is the solution of ?

Revolt · Accepted Answer

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Question 5

Which inequality is equivalent to ?

Revolt · Accepted Answer

mc007-4.jpg

Question 6

Which shows all the critical points for the inequality < 0?

Revolt · Accepted Answer

x = 0, x = 5, and x = 9

Question 7

Which shows all the critical points for the inequality < 0?

Revolt · Accepted Answer

x = –2, x = 2, and x = 3

Question 8

What is the solution of ?

Revolt · Accepted Answer

x –3 or 2 x 7

Question 9

The critical points of a rational inequality are –1, 3, and 4. Which set of points can be tested to find a complete solution to the inequality?

Revolt · Accepted Answer

x = –3, x = 1, x = 3.5, and x = 5

Question 10

Which graph shows the solution set of ?

Revolt · Accepted Answer

mc018-4.jpg

Rational Inequalities Answers

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