raz1024 wrote:Nice explanation Jared.

To that I would add the following...

There's a difference between saying "n > -8 must be true" and "n > -8 is the range of all possible values of n". I think that's where the confusion is coming from.

We're not saying that all possible values of n > -8 fit the inequality given in the prompt. We're just saying that no matter what value of n we pick from -6<=n<=10, it will DEFINITELY be greater than -8.

Another example:

If we say that the value of x is positive, then it is definitely true that x > -10, because any positive number is bigger than a negative number. We're not saying that x can be ANY value greater than -10; we're just saying it is definitely greater than -10.

Hopefully that makes sense!

sabiha wrote:Thanks for explaining the difference.

I have another question.

This one was with a diagram, where A,B,C,D,E are 5 points on the number line for -2,-1,0,1, 2 respectively. The question asks which of these points has highest absolute value?
The answer is A (-2)

But my question here is that isn't it that both -2 and 2 have the same absolute values? How can we distinguish between the absolute values of a positive and negative of the same no.?

Thanks in advance

raz1024 wrote:Nice explanation Jared.



To that I would add the following...

There's a difference between saying "n > -8 must be true" and "n > -8 is the range of all possible values of n". I think that's where the confusion is coming from.

We're not saying that all possible values of n > -8 fit the inequality given in the prompt. We're just saying that no matter what value of n we pick from -6<=n<=10, it will DEFINITELY be greater than -8.

Another example:

If we say that the value of x is positive, then it is definitely true that x > -10, because any positive number is bigger than a negative number. We're not saying that x can be ANY value greater than -10; we're just saying it is definitely greater than -10.

Hopefully that makes sense!

amising6 wrote:

sabiha wrote:Thanks for explaining the difference.

I have another question.

This one was with a diagram, where A,B,C,D,E are 5 points on the number line for -2,-1,0,1, 2 respectively. The question asks which of these points has highest absolute value?
The answer is A (-2)

But my question here is that isn't it that both -2 and 2 have the same absolute values? How can we distinguish between the absolute values of a positive and negative of the same no.?

Thanks in advance

raz1024 wrote:Nice explanation Jared.



To that I would add the following...

There's a difference between saying "n > -8 must be true" and "n > -8 is the range of all possible values of n". I think that's where the confusion is coming from.

We're not saying that all possible values of n > -8 fit the inequality given in the prompt. We're just saying that no matter what value of n we pick from -6<=n<=10, it will DEFINITELY be greater than -8.

Another example:

If we say that the value of x is positive, then it is definitely true that x > -10, because any positive number is bigger than a negative number. We're not saying that x can be ANY value greater than -10; we're just saying it is definitely greater than -10.

Hopefully that makes sense!

ye you are right the absolut value will be 2

sabiha wrote:If it is true that -6 < equal to n < equal to 10, which of the following must be true?

A. n < 8

B. n = -6

C. n > -8

D. -10 < n < 7

E. none of the above


The correct choice is C i.e. n > -8.

I am unable to understand this coz if n > -8, then n = -7, -6...
It is not any where mentioned in the stem that n = -7 whereas n has all the values from -6 to 10.

Kindly explain.

Testluv wrote:Hi preet,

if the question asked for what COULD be true, then you would be correct.

But the question asks for what MUST be true. It doesn't HAVE to be true that n = -6.

However, it must be true that any value within the range of -6 to 10 (inclusive) is larger than -8.