Solving Absolute Value Equations Answers

9 verified answers
1
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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
3

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
6

Juan 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 8 is equal to 8.
Option A
B
When , , which is true because –12 is less than 8.
Option B
C
When , , which is true because 10 is greater than 8.
Option C
D
When , , which is true because 4 is less than 8.
Option D
7

What is the solution set for ?

Question illustration
A
11 less-than z less-than 19
Option A
B
Negative 19 less than z less-than 11
Option B
C
or
Option C
D
or
Option D
8

Which number line shows the solution set for ?

Question illustration
A
A number line going from negative 8 to positive 8. Closed circles are at negative 2 and positive 8. Everything to the left of negative 2 and to the right of positive 8 is shaded.
Option A
B
A number line going from negative 8 to positive 8. Closed circles are at negative 2 and positive 8. Everything between the points is shaded.
Option B
C
A number line going from negative 8 to positive 8. Open circles are at negative 2 and positive 8. Everything between the points is shaded.
Option C
D
A number line going from negative 8 to positive 8. Open circles are at negative 2 and positive 8. Everything to the left of negative 2 and to the right of positive 8 is shaded.
Option D
9

Which number line shows the solution set for ?

Question illustration
A
A number line going from negative 14 to positive 10. Open circles are at negative 12 and negative 4. Everything between the points is shaded.
Option A
B
A number line going from negative 14 to positive 10. Open circles are at negative 12 and negative 4. Everything to the left of negative 12 and to the right of negative 4 is shaded.
Option B
C
A number line going from negative 14 to positive 10. Closed circles are at negative 4 and positive 4. Everything to the left of negative 4 and to the right of positive 4 is shaded.
Option C
D
A number line going from negative 14 to positive 10. Closed circles are at negative 4 and positive 4. Everything between the points is shaded.
Option D
10

Which number line shows the solution set for ?

Question illustration
A
A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7.
Option A
B
A number line going from negative 4 to positive 4. Points are at negative 1 and positive 1.
Option B
C
A number line going from negative 8 to positive 8. Points are at negative 7 and positive 7.
Option C
D
A number line going from negative 7 to positive 1. Points are at negative 7 and positive 1.
Option D
11

The solution to an inequality is . What is the smallest value of x that will make the original inequality true?

Question illustration
Answer not available
12

Which number line shows the solution set for ?

Question illustration
A
A number line going from negative 14 to positive 10. Open circles are at negative 12 and negative 4. Everything between the points is shaded.
Option A
B
A number line going from negative 14 to positive 10. Open circles are at negative 12 and negative 4. Everything to the left of negative 12 and to the right of negative 4 is shaded.
Option B
C
A number line going from negative 14 to positive 10. Closed circles are at negative 4 and positive 4. Everything to the left of negative 4 and to the right of positive 4 is shaded.
Option C
D
A number line going from negative 14 to positive 10. Closed circles are at negative 4 and positive 4. Everything between the points is shaded.
Option D
13

What is the solution set for ?

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
14

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.
15

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
16

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
17

Which number line shows the solution set for ?

Question illustration
A
A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7.
Option A
B
A number line going from negative 4 to positive 4. Points are at negative 1 and positive 1.
Option B
C
A number line going from negative 8 to positive 8. Points are at negative 7 and positive 7.
Option C
D
A number line going from negative 7 to positive 1. Points are at negative 7 and positive 1.
Option D
18

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
19

Which is a solution to the equation ?

Question illustration
A
y = 2
Option A
B
y = 4
Option B
C
y = 6
Option C
D
y = 10
Option D

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