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K... I thought about it. In this case X can be a fraction. X could be 5/4, in that case we cannot say that x>3. this is actually a GMAT club test question. I am leaning towards E since they have not specified that X is an integer. Thoughts?

K... I thought about it. In this case X can be a fraction. X could be 5/4, in that case we cannot say that x>3. this is actually a GMAT club test question. I am leaning towards E since they have not specified that X is an integer. Thoughts?

Yes you're right. E is correct answer if the question does not specify that X has to be an integer.

A would be the correct answer if X must be an integer.

2) x > 1: it could be 2,3 so answer is No. it could be 4,5,6,7,8 so answer is YES. Two possible answers thus Insufficient.

Between A C and E

3) Lets say that you take the time to solve statement one:

(x - 1)(x - 2) = x^2 - 2x - x + 2 = x^2 - 3x + 2

(x^2 - 3x + 2) (x - 3) = x^3 - 3x^2 - 3x^2 + 9x + 2x - 6 = x^3 - 6x^2+ 11x - 6 Sure x^3 - 6x^2+ 11x - 6 > 0 you probably are going to have more than one result so insufficient.

Between C or E

Put them together and: You know that from st (2) x > 1

so try using 2 in

(x-1)(x-2)(x-3)>0

(2-1)(2-2)(2-3)>0 (1)(0)(-1)> 0 0>0 not true, thus we can not use the number two or 3, because it could give the same result.

so x could be 4,5,6,7,8,9,10... Use 4 and

(4-1)(4-2)(4-3)>0 (3)(2)(1)>0 6>0 check

its (4,5,6,7,8,9,10...) x > 3 ? YES always.

Thus C

Sorry. I made a mistake in statement one: (x-1)(x-2)(x-3)>0

Just numbers greater than 4 can be use to satisfy the statement, thus A

This question does not specify that X has to be an integer. There are fractions of where X=<3 that satisfies equation 1. Therefore statement 1 is NOT sufficient.