If B = {x : x ∈ W and 3x ≤ 12}, what is B?
Answer and explanation
Correct answer: B = {0, 1, 2, 3, 4}
Dividing 3x ≤ 12 by the positive number 3 gives x ≤ 4. Since x belongs to the whole numbers W = {0, 1, 2, ...}, the allowed values are 0, 1, 2, 3 and 4. Thus B = {0, 1, 2, 3, 4}. The options that omit 0 confuse whole numbers with natural numbers, while values above 4 fail the inequality.
Frequently asked questions
What is the correct answer to this question?
B = {0, 1, 2, 3, 4}
Why is this the correct answer?
Dividing 3x ≤ 12 by the positive number 3 gives x ≤ 4. Since x belongs to the whole numbers W = {0, 1, 2, ...}, the allowed values are 0, 1, 2, 3 and 4. Thus B = {0, 1, 2, 3, 4}. The options that omit 0 confuse whole numbers with natural numbers, while values above 4 fail the inequality.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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