# Question: Is x Less than 0?

## Comment on Is x Less than 0?

I'm confused about this one. I found they're both sufficient. For either one, I wasn't including 0 as a possibility since the target question is asking if X is less than 0. Why in the 2nd part you're seeing if 0 can be a possibility?

I didn't solve for x for the 2nd one but I quickly found that any negative integer replacing X would make it less that -4.

Thanks ### Hi Gabriel,

Hi Gabriel,

For statement 1, we can see that x = 0 does not satisfy the inequality 2x > 3x.
So, there's no reason to include 0 in your analysis.

For statement 2, it isn't enough to just test negative values of x.

For example, let's try a different statement 2:
(2) x + 1 < 100
If we test a bunch of negative integers they will all satisfy the inequality x + 1 < 100.
However, this does not mean that x MUST be negative.
For example, if we test x = 25 also satisfies the inequality x + 1 < 100.

----Okay, back to the question at hand---------
When we solve the inequality for x, we get: x < 1/2

This is when it's crucial to remind ourselves of the target question: Is x < 0?
This is a YES/NO question.

So, if x < 1/2, then it's possible that x = -5, in which case the answer to the target question is "YES, x IS less than 0"

It's also possible that x = 0, in which case the answer to the target question is "NO, x is NOT less than 0"

Once we have two contradictory answers to the target question, we know that the statement is not sufficient.

Does that help?

Cheers,
Brent

### Somewhat better. Need to

Somewhat better. Need to practice more of these data sufficiency problems.