Assuming a is a non zero integer, which of the following statements is never true...

1. a > -a

2. a < -a

3. [a] = -a

4. [a] = - [a]

any explanation is welcome!

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- Sep 9th 2008, 12:28 PMhmwinIntegers involving absolute values
Assuming a is a non zero integer, which of the following statements is never true...

1. a > -a

2. a < -a

3. [a] = -a

4. [a] = - [a]

any explanation is welcome! - Sep 9th 2008, 01:46 PMhmwin
So, are you saying that all four answers are false? Could there be more than one false answer?

- Sep 11th 2008, 07:17 AMbkarpuz
Assuming a is a non zero integer, which of the following statements is

**never**true...

*1*is true with $\displaystyle a=1$ and*2*is true with $\displaystyle a=-1$, also*3*is true with $\displaystyle a=-1$, I think the answer is*4*

Because if $\displaystyle a$ is non-zero then $\displaystyle |a|\neq0$ too.

**Question**. Does $\displaystyle [a]$ denotes the lowest or greatest integer function? If so it is not meaningful since $\displaystyle [a]=a$ holds ($\displaystyle a$ is an integer).

But it would be nice to consider this question with real $\displaystyle a\neq0$.

In this case, the solution is*3*. - Sep 11th 2008, 09:09 AMmasters
- Oct 2nd 2008, 06:36 AMnioton
Non of the answers are true

if a is not 0 ,it can be positive or nagative ,

check it with one positive for example 3,

then check it with negative for example -3

if these to numbers are not correct for any of the answer,any non ziro integer will act the same - Oct 19th 2008, 04:35 AMHallsofIvy
The question asked was "which of the answers are NEVER true".

The first, a> -a, is true whenever a is positive and so is not "never true".

The second, a< -a, is true whenever a is negative.

The third and fourth, |a|= -a and |a|= -|a| are true for a= 0.

NONE of the statments is "NEVER true".