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Question 1204774: Write a statement that represents the relationship between the following.
A = {5, 6, 7} and B = {x| 5 ≤ x ≤ 7, x ∈ N}
Group of answer choices
A ⊆ B
A ⊂ B
B ⊂ A
A ⊈ B
Answer by ikleyn(52780)   (Show Source):
You can put this solution on YOUR website! .
Write a statement that represents the relationship between the following.
A = {5, 6, 7} and B = {x| 5 ≤ x ≤ 7, x ∈ N}
Group of answer choices
(1) A ⊆ B
(2) A ⊂ B
(3) B ⊂ A
(4) A ⊈ B
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The set B can be equivalently presented as B = {5, 6, 7}.
So, the set B is the same as A. We can write B = A, or A = B.
In particular, it includes relationship (1), so (1) is correct.
Relationship (2) is not correct, since A is not a proper subset of B.
Relationship (3) is not correct, since B is not a proper subset of A.
Relationship (4) is not correct, obviously.
So, from the listed choices, only (1) is valid.
The other choices are not valid.
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Solved, answered and explained.
Keep in mind that although (1) is valid, there is more strong relationship between A and B, namely A = B,
which is not listed in the option list.
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