Maths-
General
Easy
Question
Show the conjecture is false by finding a counterexample. If a + b = 0, then a = b = 0.
Hint:
Inductive Reasoning is the process of drawing a general conclusion by observing a pattern based on the observations and this conclusion is called conjecture.
Counterexample: It is an example which shows that the conjecture is false.
The correct answer is: Hence, the counterexample for the given conjecture is a = +2 and b = -2
If we take
a = +2
and b = -2
a + b = 2 + (-2)
= 2 - 2
= 0
So, the given conjecture i.e. “ If a + b = 0, then a = b = 0” is wrong as above a 0 and b 0
Final Answer:
Hence, the counterexample for the given conjecture is a = +2 and b = -2
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