Absolute Value Inequalities Answers

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3

A student showed the steps below while solving the inequality by graphing.Step 1:Write a system of equations: Step 2: Graph the two equations:Step 3:Identify the values of x for which :x = 3 or x = 5Step 4:Write the solution in interval notation:What is the first step in which the student made an error?

Question illustration
A
Step 1, because the student should have written a compound statement with “and”
B
Step 2, because the student should have graphed the inequalities
Option B
C
Step 3, because the values for x for which also include values between 3 and 5
Option C
D
Step 4, because the solution is one continuous interval
4

A student found the solution below for the given inequality.Which of the following explains whether the student is correct?

Question illustration
A
The student is completely correct because the student correctly wrote and solved the compound inequality.
B
The student is partially correct because only one part of the compound inequality is written correctly.
C
The student is partially correct because the student should have written the statements using “or” instead of “and.”
D
The student is completely incorrect because there is “ no solution “ to this inequality.
6

What is the solution to the inequality ?

Question illustration
A
–7 < x < –1
B
1 < x < 7
C
x < –7 or x < –1
D
x > 1 or x < 7
7

Which of the following represents the solution to the inequality ?

Question illustration
A
mc018-2.jpg
Option A
B
mc018-3.jpg
Option B
C
[–2, 7]
D
[1.5, 7.5]
9

What is the solution, if any, to the inequality ?

Question illustration
A
all real numbers
B
no solution
C
mc021-2.jpg
Option C
D
mc021-3.jpg
Option D
10

Which compound inequality can be used to solve the inequality ?

Question illustration
A
mc004-2.jpg
Option A
B
mc004-3.jpg
Option B
C
3x + 2 > –7 or 3x + 2 > 7
D
3x + 2 7

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