Chapter 5: Q5. (page 328)

Which absolute value equation has the graph below as its solution?
A $| x - 3 | = 11$
Brole="math" localid="1647499787438" $| x - 4 | = 12$
C $| x - 11 | = 3$
D $| x - 12 | = 4$

Short Answer

Expert verified

The correct option is represented by C.

Step by step solution

Step 1. Check whether the first option is the required option or not.

The provided graph indicates two points which are positive represented by 8 and 14. Perform substitution of these values into the left side of the first option.

$|8 - 3| = 5$

As the obtain value is not 11 so this option is incorrect.

Step 2. Check whether the second option is the required option or not.

Perform substitution of the provided values into the left side of the second option.

$|8 - 4| = 4$

As the obtain value is not 12 so this option is incorrect.

Step 3. Check whether the third option is the required option or not.

Perform substitution of provided values into the left side of the third option.

$|8 - 11| = 3$

As the obtain value is 3 so this option is correct.

Step 4. Check whether the fourth option is the required option or not.

Perform substitution of the provided values into the left side of the fourth option.

$|8 - 12| = 4$

$|14 - 12| = 2$

As the second obtain value is not 4 so this option is incorrect.

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Which absolute value equation has the graph below as its solution?
A $| x - 3 | = 11$
Brole="math" localid="1647499787438" $| x - 4 | = 12$
C $| x - 11 | = 3$
D $| x - 12 | = 4$

Short Answer

Step by step solution

Step 1. Check whether the first option is the required option or not.

Step 2. Check whether the second option is the required option or not.

Step 3. Check whether the third option is the required option or not.

Step 4. Check whether the fourth option is the required option or not.

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Which absolute value equation has the graph below as its solution?A|x−3|=11Brole="math" localid="1647499787438" |x−4|=12C|x−11|=3D|x−12|=4

Short Answer

Step by step solution

Step 1. Check whether the first option is the required option or not.

Step 2. Check whether the second option is the required option or not.

Step 3. Check whether the third option is the required option or not.

Step 4. Check whether the fourth option is the required option or not.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Statistics

Pure Maths

Discrete Mathematics

Mechanics Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Which absolute value equation has the graph below as its solution?
A $| x - 3 | = 11$
Brole="math" localid="1647499787438" $| x - 4 | = 12$
C $| x - 11 | = 3$
D $| x - 12 | = 4$