Question

If $P$ is the set of all Irrational Numbers,
$Q$ is the set of all Rational Numbers,
$Z$ is the set of all Integers,
then which of the following is correct?

• A. $Z\subset Q;Z\subset ̸P.$
• B. $Q\subset Z$
• C. $Z\subset P;Z\subset Q$

Answer 1

The correct option is A $Z\subset Q;Z\subset ̸P.$

$Z$ is the set of all Integers,
$Q$ is the set of all Rational Numbers,
$P$ is the set of all Irrational Numbers,
$R$ is the set of all Real Numbers
We know the order, i.e.,
$Z\subset Q\subset R;P\subset R.$

Hence,
$Z\subset Q;Z\subset ̸P.$