State in each case whether A ⊂ B or A ⊄ B.

Question:

State in each case whether A ⊂ B or A ⊄ B.

A = {x : x is a triangle in a plane}, B = {x : x is a rectangle in the same plane}

 

Solution:

A ⊄ B

We have, A = set of triangles and B = set of rectangles

Now, we can see elements of A does not belong to B since the set of rectangles does not include a set of triangles.

 

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