If B={x∈W: 2x+1≤9}, what is B?
Answer and explanation
Correct answer: B={0,1,2,3,4}
The governing concept is solving an inequality over the whole numbers. From 2x+1≤9, subtract 1 to obtain 2x≤8, and divide by 2 to get x≤4. Whole numbers are 0,1,2,..., so the members satisfying this condition are 0,1,2,3,4. Hence option B is correct. Options A and D omit zero, while C incorrectly omits the valid endpoint 4.
Frequently asked questions
What is the correct answer to this question?
B={0,1,2,3,4}
Why is this the correct answer?
The governing concept is solving an inequality over the whole numbers. From 2x+1≤9, subtract 1 to obtain 2x≤8, and divide by 2 to get x≤4. Whole numbers are 0,1,2,..., so the members satisfying this condition are 0,1,2,3,4. Hence option B is correct. Options A and D omit zero, while C incorrectly omits the valid endpoint 4.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Irrational numbers.
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