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Class 10MathematicsSetsSets and their representationsMediumLevel 2

If P = {x : x ∈ ℤ, x² - 5x + 6 = 0}, then the correct roster form of P is:

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Answer and explanation

Correct answer: P = {2, 3}

Factor the quadratic expression: x² - 5x + 6 = (x - 2)(x - 3). For the product to be zero, either x - 2 = 0 or x - 3 = 0. Thus x = 2 or x = 3. Both values belong to the integers, so both are elements of P. Consequently, the roster form is P = {2, 3}, making option A correct.

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setsquadratic equationsintegersroster formSets and their representationsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

P = {2, 3}

Why is this the correct answer?

Factor the quadratic expression: x² - 5x + 6 = (x - 2)(x - 3). For the product to be zero, either x - 2 = 0 or x - 3 = 0. Thus x = 2 or x = 3. Both values belong to the integers, so both are elements of P. Consequently, the roster form is P = {2, 3}, making option A correct.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.

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