Short Answer TypeIdentify the quantifiers in the following statements.
(i) There exists a real number which is twice of itself.
(ii) For every x ∊ N, x + 10 > x.
Identify the type of “or” used in the following statements.
(i) An ice cream or coca-cola is available with piza.
(ii) A lady gives birth to a baby boy or a baby girl.
Write the following statements in “if-then” form.
p : A number is multiple of 9 only if it is multiple of 3.
q : When a number is multiple of 9, it is necessarily a multiple of 3.
Rewrite the following statement with “if-then” in five different ways conveying the same meaning.
If a natural number is odd, then its square is also odd.
The given statement is:
‘If x is a prime number, then it is odd’. ...(I)
The contrapositive statement of the given statement (I) is ‘If x is not an odd number, then x is not prime’.
The converse of the given statement (I) is:
‘if x is an odd number, then x is prime.’
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