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 an isosceles triangle in the plane}, B = {x : x is an equilateral triangle in the same plane}

 

Solution:

A ⊄ B

Explanation: since all isosceles triangles are not equilateral triangles. Therefore set of isosceles triangle is not contained in the set of equilateral triangle.

 

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