If V={x: x is an integer and x²=9}, what is V?
Answer and explanation
Correct answer: V={-3,3}
The governing concept is solving a set-builder condition over the integers. The equation x²=9 has two solutions because both 3² and (-3)² equal 9. Both 3 and -3 are integers, so both satisfy the domain condition and must be included: V={-3,3}. Choosing only one sign omits a valid solution, while 9 is the square value rather than a value of x.
Frequently asked questions
What is the correct answer to this question?
V={-3,3}
Why is this the correct answer?
The governing concept is solving a set-builder condition over the integers. The equation x²=9 has two solutions because both 3² and (-3)² equal 9. Both 3 and -3 are integers, so both satisfy the domain condition and must be included: V={-3,3}. Choosing only one sign omits a valid solution, while 9 is the square value rather than a value of x.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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