An algebra problem by Mohammad Arman Khaled
Which of the following is a counterexample for this conditional statement?
""""If the sum of two numbers is even, then those numbers are both odd.""""
Answers:
-
2&3
-
3&3
-
1&6
-
2&6
-
3&9
which of the above option is correct??
( you just have to write the correct option number)
Remember>.....
~~~~{{A counterexample is an example in which the hypothesis is true, but the conclusion is false. If you can find a counterexample to a conditional statement, then that conditional statement is false.}}~~~
The answer is 4.
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( 2 a + 1 ) + ( 2 b + 1 ) = 2 ( a + b + 2 ) But 2 x + 2 y = 2 ( x + y ) is also even so the counterexample is the pair in which both the numbers are even . 2&6 is the only pair that satisfies the condition of the counterexample ,so the answer is option number 4