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Which statement is correct about F = {x : x ∈ W and x² = 25}?
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Answer and explanation
Correct answer: F = {5}
Solving x² = 25 gives x = -5 and x = 5. The domain, however, is W, the whole numbers, which contain 0 and positive integers but no negative integers. Thus -5 is rejected and only 5 remains. Therefore F = {5}, a singleton set. The number 25 is the square value, not a solution for x.
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What is the correct answer to this question?
F = {5}
Why is this the correct answer?
Solving x² = 25 gives x = -5 and x = 5. The domain, however, is W, the whole numbers, which contain 0 and positive integers but no negative integers. Thus -5 is rejected and only 5 remains. Therefore F = {5}, a singleton set. The number 25 is the square value, not a solution for x.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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