Question

Write the component statement of the following compound statement and check whether the compound statement is true or false ; " Zero is less than every positive integer and every negative integer".

Answer 1

The component statements are

p: Zero us less than every positive integer

q : every negative

The component statements are

a: Zero is less than every positive integer

b: Zero is less than every negative integer.

the connecting word is "(and)"

the statement a us true but statement b is false.

Hence the compound statement is false.