Question 1204774
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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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<pre>
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.
</pre>

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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.