If all elements of set A is in set B.
So, we say
A is a subset of B
Example:
A = { 1, 2, 3, 4, 5 }
B = { 1, 2, 3, 4, 5 , 6, 7, 8, 9, 10}
Since 1, 2, 3, 4, 5 is in set B as well,
So, we write
A is a subset of B.
A ⊂ B
Let X = {1, 2, 3}, Y = {3, 4, 5}, Z = {1, 2, 3, 4, 5}
Is X a subset of Z?
-a-
Since 1, 2, 3 are in set Z
X ⊂ Z
-ea-
Is Y a subset of Z?
-a-
Since 3, 4, 5 are in set Z
Y ⊂ Z
-ea-
Is X a subset of Y?
-a-
Since 1, 2 are not in Y
∴ X is not a subset of Y
i.e. X ⊄ Y
-ea-
Is Y a subset of X?
-a-
Since 4, 5 are not in Y
∴ Y is not a subset of X
i.e. Y ⊄ X
-ea-
