Question
Make correct statement by filling in the symbols ⊂ or ⊄ in the blank spaces :
{x : x is an even natural number} . . . {x : x is an integer}
Solution
Let A = {x : x is an even natural number} A = (2, 4, 6, ........)
B = {x : x is an integer} B = {......, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, ...........}
All even natural numbers are also integers.
∴ b Every member of set A is a member of set B.
Hence, {x : x is an even natural number} {x : x is an integer}.