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Home » Write the component statements of the following compound statements and check whether the compound statement is true or false.(i) All living things have two eyes and two legs.(ii) 2 is an even number and a prime number.
Write the component statements of the following compound statements and check whether the compound statement is true or false.
(i) All living things have two eyes and two legs.
(ii) 2 is an even number and a prime number.
CBSE | Class 11 | Mathematical Reasoning | Maths | NCERT Exemplar
Write the component statements of the following compound statements and check whether the compound statement is true or false.
(i) All living things have two eyes and two legs.
(ii) 2 is an even number and a prime number.

(i) A compound statement is made up of two or more statements (Components).

As a result, the elements of the given sentence “All living things have two eyes and two legs” are as follows:

p: All living things have two eyes.

q: All living things have two legs

The provided compound statement is now written in the form P Q, with the truth value True.

Only then will both components be true.

Here,

False: “All living things have two eyes.”

False: “All living things have two legs.”

Hence, the given statement is False.

(ii) A compound statement is made up of two or more statements (Components).

As a result, the elements of the provided statement “2 is an even number and a prime number” are as follows:

p: 2 is an even number.

q: 2 is an prime number.

The provided compound statement is now written in the form P Q, with the truth value True.

Only then will both components be true. Here,

“2 is an even number” is true

“2 is an prime number” is true

Hence, the given statement is true.

i

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