Question

Which of the following is true?

|−8| < 6
|−6| < |−8|
|8| < |−6|
|−6| < −8

Answer 1

2

Answer 2

\(\color{#0cbb34}{\text{Originally Posted by}}\) @SchoolSucks
2
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why so i knoe your not lying

Answer 3

i need imformation

Answer 4

\(\color{#0cbb34}{\text{Originally Posted by}}\) @SchoolSucks
2
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Explain your reasoning, please.

Answer 5

It's the 2nd option... It's the absolute value of -6 and absolute value of -8, which is only the distance that a number is from zero. So all it would turn into is 6<8, which is true

Answer 6

\(\color{#0cbb34}{\text{Originally Posted by}}\) @MrMudd183
It's the 2nd option... It's the absolute value of -6 and absolute value of -8, which is only the distance that a number is from zero. So all it would turn into is 6<8, which is true
\(\color{#0cbb34}{\text{End of Quote}}\)
oh thank you

Answer 7

You're welcome :)

And an easy way to remember greater/less than is to invision them as aligator mouths and they'll eat the larger number and leave the smaller one

Answer 8

ok

Answer 9

Although the question is already answered ima jus answer is anyways :)

Ok so you know what the sign means (<) , but incase you don't know then it means which ever side is on the right of ONLY THIS SYMBOL (<), it bigger, so 4<5 is the same thing as saying four is less than five.

Now, absolute value (the thing that has the| |) is how far away the number is away from zero. This is usually showed on a line plot though. An example of absolute value would be |10| which is saying the absolute value of 10. The absolute value of 10 is 10. The reason for that is that 8 is 10 points away from 0. The same would be for |-10| because it is also 10 units away from 10.
So, Absolute value is the distance a number is away from 0.

Now lets break down every equation

First option A

Option A says
\[ |−8| < 6\]

So what we have to do is find the absolute value of 8.
As I said to find the absolute value we have to find the distance away from 0 the number is.

So 8 is 8 units away from 0.

So now it changed from \[ |−8| < 6\] to \[8<6\] or 8 is less than 6 which is false
As I said, which ever number is on the right of the < sign is the one that is saying that it's bigger.

6 is on the right and 6 isn't bigger than 8 so we can mark a as false

Now option B

The equation is \[ |−6| < |−8|\]
The first step would be find the absolute value of both of them.
The absolute value or |-6|=6 and the absolute value of |-8|=8

Which means it is now changed to 6<8

Or 6 is less than 8

Which is true!