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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