NCERT Exemplar Solutions
Class 11 - Mathematics - Chapter 1: Sets

True or False

If A is any set, then \(A \subset A\).

Given that \(M = \{1,2,3,4,5,6,7,8,9\}\) and if \(B = \{1,2,3,4,5,6,7,8,9\}\), then \(B \not\subset M\).

The sets \(\{1,2,3,4\}\) and \(\{3,4,5,6\}\) are equal.

\(Q \cup Z = Q\), where \(Q\) is the set of rational numbers and \(Z\) is the set of integers.

Let sets R and T be defined as \(R = \{x \in \mathbb{Z} \mid x \text{ is divisible by 2}\}\) and \(T = \{x \in \mathbb{Z} \mid x \text{ is divisible by 6}\}\). Then \(T \subset R\).

Given \(A = \{0,1,2\}\), \(B = \{x \in \mathbb{R} \mid 0 \le x \le 2\}\). Then \(A = B\).