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Write the negative of the following stat...

Write the negative of the following statements and chheck whether the resulting statements are true or false
(i) The product of 4 and 8 is 12
(ii) Number of prime numbers are infinite
(iii) China is a continent
(iv) There does not exits a triangle has all its sides equal
(v) All the angles of a regular polygon are equal

Text Solution

Verified by Experts

(i) Negative of the statement is
It is false that product of 4 and 8 is 12
The product of 4 and 8 is not 12
So , the negation of the statement is true
P : Number of prime are infinite
~p : Number of prime numbers re not infinite
So, ~p is false
(iii) q : China is a continent
~q : China is not a continent
So, -q is true
(iv) s : There does not exits a triangle which has all its ides equal
~s : It is false that there
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