Question

Given below are two statements

p : 25 is a multiple of 5; q: 25 is a multiple of 8 Write the compound statements connecting these two statements with "and" and "or". In both cases check the validity of the compound statement.

Answer 1

The compound statement with "and" is

25 is a multiple of 5 and 8.

Since p is true and q is false, so the compound statement with "and" is not true

Thus the statement "p and q" is not valid.

Now the compound statement with "or" is 25 is a multiple of 5 or 8.

Since p is true and q is false, so the compound statement with "or" is true

Thus the statement "p or q" is valid.