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 can be written in the following five different ways conveying the same meaning:
(i) A natural number is odd, implies that its square is also odd.
(ii) Knowing that a natural number is odd is sufficient to conclude that its square is also odd.
(iii) A natural number is odd only if its square is also odd.
(iv) When a natural number is odd, it is necessary that its square is odd.
(v) If the square of a natural number is not odd, then the natural number is not odd.
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