If K={x: x∈W and x<4}, what is K?
Answer and explanation
Correct answer: K={0,1,2,3}
The governing definitions are whole numbers and a strict inequality. Whole numbers are 0, 1, 2, 3, 4, and so on; they do not include negative numbers. The condition x<4 excludes 4 and every larger number, while 0 satisfies the condition. Thus K={0,1,2,3}. Option A wrongly omits zero, option C includes 4, and option D includes -1, which is not a whole number. Therefore option B is correct.
Frequently asked questions
What is the correct answer to this question?
K={0,1,2,3}
Why is this the correct answer?
The governing definitions are whole numbers and a strict inequality. Whole numbers are 0, 1, 2, 3, 4, and so on; they do not include negative numbers. The condition x<4 excludes 4 and every larger number, while 0 satisfies the condition. Thus K={0,1,2,3}. Option A wrongly omits zero, option C includes 4, and option D includes -1, which is not a whole number. Therefore option B is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions.
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