What is the correct option for U = {x : x ∈ Z, 3x + 2 = 11}?
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Answer and explanation
Correct answer: U = {3}
Solve the defining equation: 3x + 2 = 11 gives 3x = 9 after subtracting 2 from both sides. Dividing by 3 gives x = 3. Since 3 belongs to the set of integers, it satisfies the stated domain restriction, and the solution set contains exactly this one element. Therefore U = {3}, so option B is correct.
Frequently asked questions
What is the correct answer to this question?
U = {3}
Why is this the correct answer?
Solve the defining equation: 3x + 2 = 11 gives 3x = 9 after subtracting 2 from both sides. Dividing by 3 gives x = 3. Since 3 belongs to the set of integers, it satisfies the stated domain restriction, and the solution set contains exactly this one element. Therefore U = {3}, so option B is 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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