Class 11 Maths Sets Sub sets

Sub sets 

A set A is said to be a subset of a set B if every element of A is also an element of B.

Consider set   A = set of all students in your class, B = set of all students in your School.

We note that every element of A is also an element of B;  we say that A is a subset of B.

A is subset of B is expressed in symbols as A ⊂ B. The symbol ⊂ stands for ‘is a subset of’ or ‘is contained in’.

  It follows from the above definition that every set A is a subset of itself, i.e. A ⊂ A.

 Since the empty set φ has no elements, we agree to say that φ is a subset of every set.

 

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