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See how well you have learned the vocabulary in this chapter.
A solution set is the set of numbers that
A. make an expression undefined
B. make an equation false
C. make an equation true
D. make an expression equal to 0.
![Check Mark](/static/check-mark.png)
The correct definition for the term “solution set”.
Answer to Problem 1TYWP
Solution:
The correct definition is option C and the definition is “make an equation true”.
Explanation of Solution
Given Information:
The definition for the term “solution set” and the options are,
A. Make an expression undefined.
B. Make an equation false.
C. Make an equation true.
D. Make an expression equal to zero.
A. Make an expression undefined.
The solution set is obtained for the equations and not the expressions. Hence it cannot make an expression undefined.
So, this option A is incorrect.
B. Makean equation false.
The solution set of an equation makes the equation true.
So, this option B is incorrect.
C. Makean equation true.
The solution set is the set of values which makes the equation true when the variable is replaced by the values of the solution set.
For example: Consider the equation
The solution set of the equation is
So, this option C is correct.
D. Makean expression equal to zero.
It is not necessary for the solution to make the expression equal to zero.
So, this option D is incorrect.
Hence, the correct definition is “make an equation true” that is option C.
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