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azamat
3 years ago
15

Let U be a universal set with subsets A and B such that n(U)=118, n(A)=57, n(B′)=69, and n(A∩B)=11. Find the following:

Mathematics
1 answer:
Arturiano [62]3 years ago
4 0
n(B)=n(U)-n(B')=118-69=49\\
n(A\cup B)=n(A)+n(B)-n(A\cap B)=57+49-11=95\\
n((A\cap B)')=n(U)-n(A\cap B)=118-11=107
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<h3>Answer: x = 4</h3>

===============================================

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Saying "Points A,B, and C are collinear" means the three points all fall on the same line. For the sake of simplicity, assume the line is horizontal.

Since B is between A and C, we know that the order of the points from left to right is A, B, C.

Through the segment addition postulate, we say,

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------------------

Extra info:

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