If {m, m + 2} = {4, 6}, what is the value of m?
Answer and explanation
Correct answer: 4
Equal sets contain exactly the same elements, although the order of listing does not matter. The two numbers in the left-hand set differ by 2, just as 4 and 6 do. Taking m = 4 gives m + 2 = 6, so the left side becomes {4,6}, which is exactly the right-hand set. The alternative m = 6 would give {6,8}, not {4,6}. Therefore, m = 4 and option B is correct.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
Equal sets contain exactly the same elements, although the order of listing does not matter. The two numbers in the left-hand set differ by 2, just as 4 and 6 do. Taking m = 4 gives m + 2 = 6, so the left side becomes {4,6}, which is exactly the right-hand set. The alternative m = 6 would give {6,8}, not {4,6}. Therefore, m = 4 and option B is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
