Relations and Functions

Relations and Functions

Question

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

(v)  x : x is a triangle in a plane}........{x : x is a rectangle in the plane}

Answer

Let          A  = {x : x is a triangle in a plane},  B = {x : x is a rectangle in the plane }
Since,  no triangle is a rectangle.
∴  No member of set A is a member of set B.
rightwards double arrow       space space space space space space space space space space space space space space space straight A ⊄ straight B

Hence,  { x : x is a triangle in aplane}  space space space space space space space ⊄    { x  :  is a tectangle in the plane}

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