Algebra Question Bank, #9

[sharifa]

Hi, I have a question regarding Question 9 from the Algebra Question Bank:

It asks:

If r is not equal to 0, is

r2/|r| < 1?

(1) r > -1

(2) r < 1


I got this question wrong because I simplified the question stem to "r(r)/r <1" and then "r<1" which led me to pick B on this DS question. I am guessing I wasn't allowed to simplify the question stem in this way but I cannot figure out why.

[yinliqiu]

Hi, I have a question regarding Question 9 from the Algebra Question Bank:

It asks:

If r is not equal to 0, is

r2/|r| < 1?

(1) r > -1

(2) r < 1


I got this question wrong because I simplified the question stem to "r(r)/r <1" and then "r<1" which led me to pick B on this DS question. I am guessing I wasn't allowed to simplify the question stem in this way but I cannot figure out why.

Hi, I think you ignore that both squares and absolute value can make negative become positive. For instance, if r = -2, which satisfy r<1, the result is (-2)^2/|-2|=2. it will be greater than 1.
So I think the answer should be C. Only if -1<r <1, r^2/|r| < 1

I don't know if my explantion is clear enough for you.

[jnelson0612]

Hi, I have a question regarding Question 9 from the Algebra Question Bank:

It asks:

If r is not equal to 0, is

r2/|r| < 1?

(1) r > -1

(2) r < 1


I got this question wrong because I simplified the question stem to "r(r)/r <1" and then "r<1" which led me to pick B on this DS question. I am guessing I wasn't allowed to simplify the question stem in this way but I cannot figure out why.

Hi, I think you ignore that both squares and absolute value can make negative become positive. For instance, if r = -2, which satisfy r<1, the result is (-2)^2/|-2|=2. it will be greater than 1.
So I think the answer should be C. Only if -1<r <1, r^2/|r| < 1

I don't know if my explantion is clear enough for you.

Thank you! Yes, your explanation makes sense to me; Sharifa, let us know if we can help you further.