QuestionIf and , why is ? Choose the correct answer:
A. ; elements aren't repeated in sets.
B. .
C. .
D. The union has fewer elements than either set.
Studdy Solution
STEP 1
Assumptions1. is a set. is a set3. The union of two sets, denoted , is the set of elements which are in , in , or in both and
STEP 2
The union of two sets is defined as the set of elements which are in either of the sets or in both. This means that if an element appears in both sets, it is not repeated in the union of the sets.
STEP 3
Now, let's find the union of the given sets and .
STEP 4
We can see that the elements and are in both sets. However, in the union of the sets, each element is listed only once.
STEP 5
So, it is not true that because in the union of two sets, elements are not repeated. Therefore, the correct answer isA. It is not true that because . Elements are not repeated in sets.
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