The intersection of two sets always contains a smaller number of terms than the union of two sets?

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The intersection of two sets always contains a smaller number of terms than the union of two sets?

true or false?

2007-02-20 21:14:52 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

2 answers

false
If the two sets are the same then the union is the same size as the intersection.

2007-02-20 21:22:43 · answer #1 · answered by Roy E 4 · 0⤊ 0⤋

True for finite sets if and only if the two sets are not identical.

(Hence False is the right answer.)

If the sets are infinite all sorts of weirdnesses happen.

2007-02-21 05:35:23 · answer #2 · answered by Curt Monash 7 · 0⤊ 0⤋