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If $X$ and $Y$ are two sets such that $X \cup Y$ has 18 elements, $X$ has 8 elements and Y has 15 elements ; how many elements does $X \cap Y$ have?
Algebra
Chapter 1
Sets
Section 6
Subsets
Equations and Inequalities
Campbell University
Oregon State University
University of Michigan - Ann Arbor
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in discussion given two sets X and Y. Ex Union way has at being elements. So you can write like that X. Has eight elements. Why has 15 elements? So here we have to find the number of elements in X. Intersection Y. So here we have a formula number of elements in eggs union Y equal to number of elements in X. Yes. Number of elements in why negative number of elements in X intersection Y. So we put the value which is given. So here we get 18 equal to eight plus 15 negative and number of elements in eggs intersection way. So now we simplify this. So here we get number of elements in act intersection Y equal to 23. Now you do 18. So here we get number of elements and ex intersection Y equal to five. So it is over. Final answer.
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