Which set is represented by C={x: x=2n+1, n∈W, n<4}?
Answer and explanation
Correct answer: C={1,3,5,7}
The governing process is substitution in a set-builder rule. Whole numbers less than 4 are n=0,1,2,3. Substituting into x=2n+1 gives x=1,3,5,7 respectively. Hence C={1,3,5,7}, which is option A. Option B incorrectly starts with n=1; option C ignores the rule, and option D includes 0, which the formula never produces for these values.
Frequently asked questions
What is the correct answer to this question?
C={1,3,5,7}
Why is this the correct answer?
The governing process is substitution in a set-builder rule. Whole numbers less than 4 are n=0,1,2,3. Substituting into x=2n+1 gives x=1,3,5,7 respectively. Hence C={1,3,5,7}, which is option A. Option B incorrectly starts with n=1; option C ignores the rule, and option D includes 0, which the formula never produces for these values.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions. Topic: General chapter practice.
