To prove two sets equal

Last updated at Dec. 16, 2024 by

To prove set A = set B,

 

we first prove set A is a subset of set B,

and set B is a subet of set A

 

That means,

  • all elements of set A are in set B
  • all elements of set B are in set A

Since, both A and B have elements, they are equal

 

To write it in formula,

We first prove

A ⊂ B

& B ⊂ A

Then, A = B

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo