AnswersIntegrated Math I BAbsolute Value Relationships

Absolute Value Relationships Answers

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1
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Which number line shows the solution set for ?

Question illustration
A
A number line going from negative 8 to positive 8. Points are at negative 6 and positive 6.
Option A
B
A number line going from negative 4 to positive 4. Points are at negative 3 and positive 3.
Option B
C
A number line going from negative 8 to positive 8. A point is at negative 6.
Option C
D
A number line going from negative 8 to positive 8. A point is at positive 6.
Option D
2
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Sarah graphed the solution to the inequality on the number line.Which inequality statement can be used to help determine if the graph is correct?

Question illustration
A
When , , which is true because 3 is less than 9.
Option A
B
When , , which is true because 9 is equal to 9.
Option B
C
When , , which is true because 9 is greater than 13.
Option C
D
When , , which is true because 9 is greater than –11.
Option D
3

Which number line shows the solution set for ?

Question illustration
A
A number line going from negative 4 to positive 4. A point is at negative 4.
Option A
B
A number line going from negative 4 to positive 4. A point is at positive 4.
Option B
C
A number line going from negative 4 to positive 4. Points are at negative 2 and positive 2.
Option C
D
A number line going from negative 4 to positive 4. Points are at negative 4 and positive 4.
Option D
4

Which number line shows the solution set for ?

Question illustration
A
A number line going from negative 6 to positive 6. Closed circles are at negative 5 and positive 5. Everything between the points is shaded.
Option A
B
A number line going from negative 1 to positive 8. Closed circles are at negative 1 and positive 5. Everything to the left of negative 1 and to the right of positive 5 is shaded.
Option B
C
A number line going from negative 6 to positive 6. Closed circles are at negative 5 and positive 5. Everything to the left of negative 5 and to the right of positive 5 is shaded.
Option C
D
A number line going from negative 1 to positive 8. Closed circles are at negative 1 and positive 5. Everything between the points is shaded.
Option D
5

Which number line shows the solution set for ?

Question illustration
A
A number line going from negative 8 to positive 8. Points are at negative 6 and positive 6.
Option A
B
A number line going from negative 8 to positive 8. Points are at negative 2 and positive 6.
Option B
C
A number line going from negative 8 to positive 8. Points are at positive 2 and positive 6.
Option C
D
A number line going from negative 8 to positive 8. Points are at negative 2 and positive 2.
Option D
7

Which statements are true for verifying the solution set of as ? Check all that apply.

Question illustration
A
Substituting 10 for x into the original inequality will create a false statement.
B
Substituting 6 for x into the original inequality will create a false statement.
C
Substituting 20 for x into the original inequality will create a true statement.
D
Substituting –20 for x into the original inequality will create a false statement.
E
Substituting –10 for x into the original inequality will create a true statement.
F
Substituting 0 for x into the original inequality will create a true statement.
10

Which number line shows the solution set for ?

Question illustration
A
A number line going from negative 4 to positive 4. Closed circles are at negative 3 and positive 3. Everything to the left of negative 3 and right of positive 3 is shaded.
Option A
B
A number line going from negative 4 to positive 4. Open circles are at negative 3 and positive 3. Everything between the points is shaded.
Option B
C
A number line going from negative 4 to positive 4. Closed circles are at negative 3 and positive 3. Everything between the points is shaded.
Option C
D
A number line going from negative 4 to positive 4. Open circles are at negative 3 and positive 3. Everything to the left of negative 3 and to the right of positive 3 is shaded.
Option D

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