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Arun says if he adds together two mixed numbers, his answer will always be less than the sum of the whole-number parts plus 1. Say 2 counter-examples to show Arun's statement is not true. A counter statement is any example that shows a statement is false

Sagot :

The two examples can be 1 1/2 & 1 3/4 and 2 2/3 & 1 2/3.

According to Arun,

Sum of two mixed numbers <  Sum of the whole number part +  1

Now, lets take the example as 1 1/2 and 1 3/4

Their sum will be:

1 1/2 + 1 3/4 = 3 / 2 + 7 / 4

= 13 / 4 = 3 1/4

The sum of whole parts = 1 + 1 = 2

Adding 1 to it = 2 + 1 = 3

We can clearly see that 3 1/4 > 3.

It contradicts Arun's statement.

Another example can be:

2 2/3 + 1 2/3 = 8 / 3 + 5 / 3

= 13 / 3 = 4 1/3

Sum of whole part + 1 = 2 + 1 + 1 = 4

4 1/3 > 4

It contradicts Arun's statement.

Therefore, the two examples can be 1 1/2 & 1 3/4 and 2 2/3 & 1 2/3.

Learn more about mixed numbers here:

https://brainly.com/question/21610929

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