Question

State True or False for the following statement.

$Q\cup Z=Q$, where $Q$ is the set of rationl numbers and $Z$ is the set of integers.

• A. False
• B. True

Answer 1

The correct option is B True

To check : $Q\cup Z=Q$, where $Q$ is the set of rationl numbers and $Z$ is the set of integers.

$\because$ All integers $\left(Z\right)$ can be expressed in the form of Rational number $\left(Q\right).$ Also, between any two integers there are infinte rational numbers

$\therefore Z\subset Q$

$\therefore Q\cup Z=Q$

Hence the given expression is true.