Question

Find the component statements of the following compound statements and check whether they are true or false.

(i) Number 3 is prime or it is odd.

(ii) All integers are positive or negative.

(iii) 100 is divisible by 3, 11 and 5.

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Answer 1

Explanation :-

(i) The component statements are

• (a) Number 3 is prime

• (b) Number 3 is odd

Here, both the statements are true

(ii) The component statements are

• (a) All integers are positive

• (b) All integers are negative

Here, both the statements are false.

(iii) The component statements are

• (a) 100 is divisible by 3

• (b) 100 is divisible by 11

• (c) 100 is divisible by 5

Here, the statements (a) and (b) are false and (c) is true.