Absolute Value Relationships Answers

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What can be concluded of the equation? Check all that apply.

A
There will be one solution.
B
There will be two solutions.
C
The solution to –(y + 6) = 2 will be also be a solution to the given absolute value equation.
D
The solution(s) will be the number(s) on the number line 2 units away from –6.
E
The value of y must be positive since the variable is inside absolute value signs.
3

Question text not available

Answers:
The solutions to the equation |y − 3|= 2 are and .:5
The solutions to the equation |y − 3|= 2 are and .:1
4

Which values of x are solutions to this equation?

Question illustration
A
x = 4 or x = 8
B
x = 2 or x = 6
C
x = –2 or x = 2
D
x = –8 or x = 8
5

Question text not available

Answers:
< s <:13.5
< s <:14.5
9

Analyze Josh’s work. Is he correct? If not, what was his mistake?

A
Yes, he is correct.
B
No. In step 1 his second inequality is not correct.
C
No. When solving the first inequality in step 2, he did not flip the inequality sign when he divided by a negative.
D
No. When solving the second inequality in step 3, he did not flip the inequality sign when dividing by a positive.

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