AnswersMathematics III ASolving Polynomial Equations using Technology

Radical Equations and Extraneous Roots Answers

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Which graph shows the solution set of ?

Question illustration
A
mc018-2.jpg
Option A
B
mc018-3.jpg
Option B
C
mc018-4.jpg
Option C
D
mc018-5.jpg
Option D
2
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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?

A
x = 1 and x = 3.5
B
x = –1, x = 3, and x = 4
C
x = –2, x = 2, and x = 5
D
x = –3, x = 1, x = 3.5, and x = 5
3

Which answer includes the intervals that contain the solution to the inequality?

Question illustration
A
mc029-2.jpg
Option A
B
mc029-3.jpg
Option B
C
mc029-4.jpg
Option C
D
mc029-5.jpg
Option D
4

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

Question illustration
A
x = –2 and x = 2
B
x = 2 and x = 3
C
x = –3, x = –2, and x = 2
D
x = –2, x = 2, and x = 3
5

What is the solution of ?

Question illustration
A
–4 x 1 and x –1
Option A
B
x –4 or x 1
Option B
C
x –4 or x –1
Option C
D
–4 x 1 and x –1
Option D
6

What is the solution of ?

Question illustration
A
x –3 or 2 x 7
Option A
B
x –3 or 2 x 7
Option B
C
–3 x 2 or x 7
Option C
D
–3 x 2 or x 7
Option D
7

Which graph shows the solution set of the inequality ?

Question illustration
A
mc014-2.jpg
Option A
B
mc014-3.jpg
Option B
C
mc014-4.jpg
Option C
D
mc014-5.jpg
Option D
8

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?

Question illustration
A
; both intervals contain viable rates for the hoses
Option A
B
; only contains viable rates for the hoses
Option B
C
no interval contains viable rates for the hoses
Option C
D
only contains viable rates for the hoses
Option D
9

Which graph shows the solution set of ?

Question illustration
A
mc010-2.jpg
Option A
B
mc010-3.jpg
Option B
C
mc010-4.jpg
Option C
D
mc010-5.jpg
Option D
10

The critical points of a rational inequality are x = –4 and x = 2. Which set of points can be tested to find a complete solution to the inequality?

A
x = –4 and x = 2
B
x = –5 and x = 3
C
x = –5, x = 0, and x = 3
D
x = –4, x = 0, and x = 2

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