Question

{x : x is a triangle in a plane} _____ {x : x is a rectangle in the plane} Make correct statement by filling in the symbols $\subset or \not \subset$. in the blank space.

Answer 1

we know, A set is known as subset of another set if all elements of the set are elements of the set. for example :- set A = {a, e, i} and set B = {a, b, c , d , e , f , g , h , i} are given then, we can say set A is subset of set B, because all elements of set A are elements of set B. hence, we can write it $A\subset B$.

now come to the question,
since , 1st set is a triangle in a plane whereas 2nd set is a rectangle in the plane. so, 1st set is not subset of 2nd set.
e.g., {x : x is a triangle in a plane}$\not\subset${x : x is a rectangle in the plane}

Answer 2

Step-by-step explanation:

Triangle in a plane subset or not rectangle in a plane

we know, A set is known as subset of another set if all elements of the set are elements of the set. for example :- set A = {a, e, i} and set B = {a, b, c , d , e , f , g , h , i} are given then, we can say set A is subset of set B, because all elements of set A are elements of set B. hence, we can write it A\subset BA⊂B .

now come to the question,

since , 1st set is a triangle in a plane whereas 2nd set is a rectangle in the plane. so, 1st set is not subset of 2nd set.

e.g., {x : x is a triangle in a plane}\not\subset

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⊂ {x : x is a rectangle in the plane}