Lesson: Data Sufficiency Challenging - 12t05

Tough Content: Example 1, continued

[Page 12 of 24]

What does Statement 1 tell us about x? Type your answer into the Text Box and click Continue.

1) x 3 < x 2

Statement (1) tells us that x is a number.

What three integers have unique properties with regard to exponents and roots? Type your answers in the Text Boxes and click Continue.

1.

2.

3.

Evaluate Statement 1 with x = –1. Select the correct answer and then click Continue.

Is -1 -1 > -1 -(-1)?

  Yes No    

Countinue

Well, the left side evaluates: while the right side evaluates: -1 -1 > -1 -(-1) = -1 1 = -1 So, both sides are equal instead of the left side being greater than the right. That means we can answer the question "No" for x = –1. Since we answered "Yes" for x = –3, this statement is insufficient.

Now let's move on to Statement 2.

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