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Question
M ∪ N = {1, 2, 3, 4, 5, 6} and M = {1, 2, 4} then which of the following represent set N?
Options
{1, 2, 3}
{3, 4, 5, 6}
{2, 5, 6}
{4, 5, 6}
Solution
{3, 4, 5, 6}
Explanation:
We have, M ∪ N = {1, 2, 3, 4, 5, 6} and M = {1, 2, 4}
Since, {1, 2, 3} ∪ {1, 2, 4} = {1, 2, 3, 4} ≠ M ∪ N = {1, 2, 3, 4, 5, 6};
{3, 4, 5, 6} ∪ {1, 2, 4} = {1, 2, 3, 4, 5, 6} = M ∪ N = {1, 2, 3, 4, 5, 6};
{2, 5, 6} ∪ {1, 2, 4} = {1, 2, 4, 5, 6} ≠ M ∪ N = {1, 2, 3, 4, 5, 6}; and
{4, 5, 6} ∪ {1, 2, 4} = {1, 2, 4, 5, 6} ≠ M ∪ N = {1, 2, 3, 4, 5, 6}
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