Chapter 2 - Set Theory - 2.3 Venn Diagrams and Set Operations - Exercise Set 2.3 - Page 83: 163

True

Set\[A\cap B\]contains all those elements which are common in both the sets A and B. Now, if set B is contained in set A, then elements present in set\[A\cap B\]are the elements of set B. Thus, set\[A\cap B\]is exactly equal to the set B. Mathematically, it can be written as:\[A\cap B=B\] Therefore, the statement “If\[B\subseteq A\], then\[A\cap B=B\]” is true.