mm78582 wrote:

Any reason why -1/3 is not considered as a possible value for x ? It does not mention that x is an integer.

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Hi

Yes, x is not an integer and thus it can take any value. But the question is specifically asking "Is x/3 < x"

As I have tried to explain in my post on this, x/3 will be < x if x >0. Thus for all values of x > 0 (whether they be fractions or integers) we can answer as YES for the question asked.

And for all values of x < 0, x/3 will not be < x but x/3 will be greater than x (whether these values be fractions or integers). For all such values we can answer as NO for the question asked.

In first statement, we are given that x < 0. So that means x/3 will not be less than x. our answer becomes NO (to the question asked) and thus the statement 1 is sufficient to answer the question.