Question

Find the components of the following compound statements:

(i) The sky is blue and the grass is green.

(ii) The earth is round or the sun is cold.

(iii) All rational numbers are real and all real numbers are complex.

(iv) 25 is a mmultiple of 5 and 8.

Answer 1

(i) The components of the compound statements :

The sky is blue and the grass is green.

are :

p : The sky is blue

q : The grass is green

(ii) The component statement of the compound statements :

The earth is round or the sun is cold.

are :

p : The earth is round

q : The sun is cold.

(iii) The component of the compound statements:

All ratioanal numbers are real and all real numbers are complex.

are :

p : All rational numbers are real.

q : All real numbers are complex.

(iv) The component of the compound statements :

25 is a multiple of 5 and 8.

are :

p : 25 is a multiple of 5

q : 25 is a multiple of 8