QuestionAre sets (months of the year) and (first 12 letters of the alphabet) equal, equivalent, or neither?
Studdy Solution
STEP 1
Assumptions1. Set A contains the months of the year. This means it has12 elements. . Set B contains the first12 letters of the alphabet. This means it also has12 elements.
STEP 2
First, we need to define what it means for sets to be equal, equivalent, or neither.
Two sets are equal if they contain exactly the same elements. This means that every element of set A is also an element of set B, and vice versa.
Two sets are equivalent if they have the same number of elements, regardless of what those elements are.
STEP 3
Now, we can compare set A and set B.Since set A contains the months of the year and set B contains the first12 letters of the alphabet, it is clear that they do not contain the same elements. Therefore, they are not equal.
STEP 4
Next, we need to determine if set A and set B are equivalent.
Since both set A and set B contain12 elements, they are equivalent.
So, set A and set B are not equal, but they are equivalent.
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