If A = {x : x ∈ N, x² − 5x + 6 = 0}, which set is equal to A?
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Answer and explanation
Correct answer: {2, 3}
Factor the quadratic expression: x² − 5x + 6 = (x − 2)(x − 3). Therefore x = 2 or x = 3. Both values are natural numbers, so they satisfy the restriction x ∈ N. Hence A = {2, 3}, and option A gives the set equal to A. The order of elements does not matter in a set.
Frequently asked questions
What is the correct answer to this question?
{2, 3}
Why is this the correct answer?
Factor the quadratic expression: x² − 5x + 6 = (x − 2)(x − 3). Therefore x = 2 or x = 3. Both values are natural numbers, so they satisfy the restriction x ∈ N. Hence A = {2, 3}, and option A gives the set equal to A. The order of elements does not matter in a set.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
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