Question 530531: Determine whether A = B, A ⊆ B, B ⊆ A, A ⊂ B, B ⊂ A or if none of these answers applies.
A = {x | x is all elements of N and x < 6}
B = {x | x is all elements of N and 1 is less than or equal to x is less than or equal to 5}
I believe that the answer is A=B
Would A ⊆ B and A ⊂ B also be included in my answer as well?
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! You are correct in saying that A = B since they both equal the set {1, 2, 3, 4, 5}
Note: this is assuming that you've defined the natural numbers to be the set of positive integers.
Also, since A = B, we can say that A ⊆ B, B ⊆ A
This is part of the definition of set equality.
However, we cannot say that A ⊂ B or B ⊂ A since no one set is smaller than the other.
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