Question

{a, b, c} _____ {b, c, d} 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 $A\subset B$

Here , Let A = {a, b, c } and B = {b, c , d}
here we can see that ' a ' doesn't belong to set B but belongs to A. or 'd' doesn't belong to A but belongs to B.
so, $\bf{A\not\subset B}$ or, $\bf{B\not \subset A}$