If A = {0, 2, 4, 6} and B = {1, 3, 5}, what is A − B?
Answer and explanation
Correct answer: {0, 2, 4, 6}
A − B contains elements that belong to A but do not belong to B. The sets A and B have no common elements: A contains even numbers from 0 to 6, while B contains odd numbers from 1 to 5. Consequently, no element of A is removed. Therefore, A − B remains equal to A, namely {0, 2, 4, 6}. Option B is correct; the empty set would result only if every element of A were in B.
Frequently asked questions
What is the correct answer to this question?
{0, 2, 4, 6}
Why is this the correct answer?
A − B contains elements that belong to A but do not belong to B. The sets A and B have no common elements: A contains even numbers from 0 to 6, while B contains odd numbers from 1 to 5. Consequently, no element of A is removed. Therefore, A − B remains equal to A, namely {0, 2, 4, 6}. Option B is correct; the empty set would result only if every element of A were in B.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Sets.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
