(i) Write the negation of the statement ""5 is a prime number"". (ii) Write the contrapositive and converse of the statement. ""If a triangle is equilateral then it is isosceles"".
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Answer:
5 is a composite number
No
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Given : "5 is a prime number"
To Find : Write the negation of the statement
Solution:
"5 is a prime number"
negation of the statement
5 is not a prime number
Contrapositive. Switching the hypothesis and conclusion of a conditional statement and negating both
inverse - Negating both statements
Converse - reversal of both statements
"If a triangle is equilateral then it is isosceles
Contrapositive.
If a triangle is not isosceles then it is not an equilateral triangle
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