Question

The set of rational numbers Q is a subset of?​

Answer 1

Answer:

Any integer can be expressed as the ratio of that number itself divided by 1. So any integer is a rational number. In other words, each element of the set of integers “I” is an element of the set of rational numbers “Q”. That is I is subset of Q.

Answer 2

Answer:

The set of rational numbers Q is subset of set of Real numbers R and also the set of complex numbers C.

Step-by-step explanation:

1) Rational numbers as defined as

$\frac{p}{q}$

Where p belongs to Z, set of integers

and q belongs to N, set of natural numbers.

2) The set of Real numbers consist all the rational and irrational numbers.

Thus the set of Real numbers R is super set of set of rational numbers Q and thus Q is subset of R.

3) Similarly the set of Complex numbers consist all the real as well as imaginary numbers. As rational numbers are real numbers also, they are elements of set of complex numbers also.

Thus the set of rational numbers Q is subset of set of complex numbers C also.

4) Note that Q is superset of Z and N but not it's subset and the set of rational numbers and irrational numbers are disjoint sets.

Now the set of rational numbers Q is subset of set of Real numbers R and set of complex numbers C.