Relations and Functions

Relations and Functions

Question

Make correct statement by filling in the symbols ⊂ or ⊄ in the blank spaces :

{x: x is an equilateral triangle in a plane}.....{x : x is a triangle in the same plane}

Answer

Let        A =     {x : x is an equilateral triangle in a plane} 
            B =      {x : x is a triangle in the same plane}
Now, every equilateral triangle is also a triangle.
∴    Every member of set A is a member of Set B.
space space space space space space space space space space rightwards double arrow space space space space space space space space straight A space space subset of space space straight B

Hence,  {x : x is an equilateral triangle in a plane}   space space subset of   {x : x is a triangle in the same plane}

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