Definition 2 A Compound Statement is a statement which is made up of two or more statements. In this case, each statement is called a component statement.

Consider some examples.
Example 4.
Find the component statements of the following compound statements.
(i) The sky is blue and the grass is green.
(ii) It is raining and it is cold.
(iii) All rational numbers are real and all real numbers are complex.

Solution:

(i) The component statements are
p: The sky is blue.
q: The grass is green.
The connecting word is ‘and’.

(ii) The component statements are
p: It is raining.
q: It is cold.
The connecting word is ‘and’.

(iii)The component statements are
p: All rational numbers are real.
q: All real numbers are complex.
The connecting word is ‘and’.