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Question Think about the following statements and find examples as suggested below.
(a) “When two odd numbers are added, the sum is even.”
Find 5 examples for the above statement. Can you find an example to show that the statement can be false? Always true
(b) “Multiplying a number by 2 can give an odd number.”
Give some example for this statement. Can you find any? -Never true
(c) “Halving a number always leads to an even number.”
Give 3 examples for the statement. Can you find 3 examples when this is n
(a) Examples: 5 + 3 = 8, 9 + 5 = 14, 105 + 7 = 112, 11 + 13 = 24, 15 + 5 = 20, etc.
Since the statement is always true, we cannot find an example that the statement is false.
(b ) Multiplying a number by 2 always gives an even number. So, the given statement is never true and hence we cannot find any such example to show that the given statement is true.
(c) Examples when statement is true:
\(\frac{8}{2}\) = 4, \(\frac{12}{2}\) = 6, \(\frac{16}{2}\) = 8, \(\frac{32}{2}\) = 16
Examples when statement is false:
\(\frac{10}{2}\) = 5, \(\frac{30}{2}\) = 15, \(\frac{50}{2}\) = 25, \(\frac{70}{2}\) = 35