On December 20, 2023, Brent will stop offering office hours.

- Video Course
- Video Course Overview
- General GMAT Strategies - 7 videos (free)
- Data Sufficiency - 16 videos (free)
- Arithmetic - 38 videos
- Powers and Roots - 36 videos
- Algebra and Equation Solving - 73 videos
- Word Problems - 48 videos
- Geometry - 42 videos
- Integer Properties - 38 videos
- Statistics - 20 videos
- Counting - 27 videos
- Probability - 23 videos
- Analytical Writing Assessment - 5 videos (free)
- Reading Comprehension - 10 videos (free)
- Critical Reasoning - 38 videos
- Sentence Correction - 70 videos
- Integrated Reasoning - 17 videos

- Study Guide
- Blog
- Philosophy
- Office Hours
- Extras
- Prices

## Comment on

Is x Less than 0?## I'm confused about this one.

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