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ID: 3842733 • Letter: #

Question

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Determine whether each of the following sentences is a proposition. If the sentence is a proposition, then write its negation. (a) Have a nice day. (b) The soup is cold. (c) The patient has diabetes (d) The light is on. (e) It's a beautiful day. (f) Do you like my new shoes? (g) The sky is purple. (h) 2 3- 6 (i) Every prime number is even G) There is a number that is larger than 17

Explanation / Answer

1.) determine sentence is proposition ornot.

proposition: a proposition is a declarative sentence,which will have only one of the two answer either true or false.a proposition cannot be a question or interrogative sentence.

NEGATION:-a negation shows the negative or opposite truth value of proposition, it will convert true to false and false to true.

(a)Have a nice day.

answer:-it is not a proposition.because it cannot be true or false,its a wish or say command.

(b)The soup is cold.

answer:-it is aProposition.

its negation will be: The soup is not cold.

(c)The patient has diabetes.

answer:-it is a propostion

negation:-the patient do not has diabetes.

(d)The light is on.

answer:it is proposition because it could have value as true or false

negation:-the light is off.

(e)It's a beautiful day.

answer:-it is proposition

negation:- it's a ugly day or / it's not a beautiful day

(f)Do you like my new shoes?

answer:-it is not propositon,it is a question.

(g)The sky is purple.

answer:- it is proposition

negation:-the sky is not purple

(h)2 + 3 = 6

answer:-this is proposition,

negation:-

(i)Every prime number is even.

answer:-it is a proposition

negation:-every prime number is not even

(j)There is a number that is larger than 17.

answer:- proposition

negation:-no number is larger than 17.

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