Consider the sets:U = {1, 2, {1}, {2}, {1, 2}} A = {1, 2, {1}} B = {{1}, {1, 2}} C = {2, {1}, {2}}B + C is the set:a.{{1, 2}}b.{{1}, {2}}c.{2, {2}, {1, 2}}d.{2, {1}, {2}, {1, 2}}
Question
Consider the sets:U = {1, 2, {1}, {2}, {1, 2}} A = {1, 2, {1}} B = {{1}, {1, 2}} C = {2, {1}, {2}}B + C is the set:a.{{1, 2}}b.{{1}, {2}}c.{2, {2}, {1, 2}}d.{2, {1}, {2}, {1, 2}}
Solution
The operation "+" in set theory usually refers to the union of two sets. The union of two sets is the set of elements which are in either set, or in both.
So, B + C (or B union C) would be a set that contains all the elements of B and all the elements of C.
B = {{1}, {1, 2}} C = {2, {1}, {2}}
The union of B and C would be: {{1}, {1, 2}, 2, {1}, {2}}
However, none of the options provided (a, b, c, d) match this result. There might be a mistake in the question or the provided options.
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