SOLUTION: If Set A = {2,3,5,7} and set B = {0,1,2,3,4}, is A a subset of B?

Question 981202: If Set A = {2,3,5,7} and set B = {0,1,2,3,4}, is A a subset of B?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

To determine if the set A={2,3,5,7} is a subset of B={0,1,2,3,4}, we need to determine if EVERY element in A is also in B.
If EVERY element in A is also an element of B, then this means that A is a subset of B. This will be denoted as

.

So let's go through each element of A={2,3,5,7} and see if it is also in B={0,1,2,3,4}:

Question: Is the element "2" from set A also in B={0,1,2,3,4}? The answer is yes (it's the 3rd element in B). So let's check that off the list and move to the next element.

Question: Is the element "3" from set A also in B={0,1,2,3,4}? The answer is yes (it's the 4th element in B). So let's check that off the list and move to the next element.

Question: Is the element "5" from set A also in B={0,1,2,3,4}? The answer is no. Since "5" is in A, but NOT in B, this means that A is NOT a subset of B (since at least one element is in A, but not in B).

We can denote this as

.

So once again, the set A={2,3,5,7} is NOT a subset of B={0,1,2,3,4} because not all of A is in B.

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