surabhichaudhary20 wrote:

The answer should be C.

Explanation:

We are supposed to find a definite yes or no answer for whether x is between -10 and 10 excluding -10 and 10.

1) \(x^2-12x+20=0\)

This equation gives us 2 and 10. If it is 2, answer is yes. If it is 10, answer is no. So, the information is not sufficient.

2) x<10

x is less than not equal to 10. If we take 3 answer is yes. If we take -20, answer is no. So, we don't have a definite yes or no. Hence, information not sufficient.

Combining both 1) and 2)

The only answer is 2. This gives a definite yes to our original question (whether x is between -10 and 10 excluding -10 and 10).

So, the option C is our answer.

In the first statement, for X= 10, the answer is No and for X= 2, the answer is still No . So it is sufficient.

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