Question

Which of the following sentences are statements? Justify your answer.
(i) Answer this question
(ii) All the real numbers are complex numbers
(iii) Mathematics is difficult
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Answer 1

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$\Large\fbox{\color{purple}{QUESTION}}$

Which of the following sentences are statements? Justify your answer.

(i) Answer this question

(ii) All the real numbers are complex numbers

(iii) Mathematics is difficult

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$\Large\fbox{\color{purple}{ SOLUTION }}$

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➡️Given:

✴➡️(i) Answer this question

➡️Since it is an order, the given sentence is not a statement.

✴➡️(ii) All the real numbers are complex numbers

➡️We know that all the real numbers can be written in the form: a+i0

➡️Where a is a real number. Hence, it always true, the given sentence is a statement

✴➡️(iii) Mathematics is difficult

➡️Mathematics is a subject that can be easy for some people and difficult for some people.

➡️So, the given sentence can be both true or false.

➡️Hence, it is not a statement.

$\Large\mathcal\green{FOLLOW \: ME}$

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Answer 2

A statement is a basic fact or opinion.

Basing my answer to this definitions:

i) This is a sentence or more like a command. That is why it is not a statement.

ii) This one is clearly a statement as it is all factual.

iii) This one is also a statement because it is an opinion as not everyone might find math a difficult subject. Therefore it is concluded to ve a statement.

❤ Hope it helps ❤