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Mathematics 21 Online
OpenStudy (anonymous):

Which of the solution sets is all real numbers? |x| < -1 |x| = -1 |x| > -1

OpenStudy (anonymous):

@cantthink96

OpenStudy (skullpatrol):

Any ideas @Cweezie23 ? you need a good idea to get a good answer :)

OpenStudy (anonymous):

This is definitely different.

OpenStudy (anonymous):

not a clue @skull

OpenStudy (skullpatrol):

What is the definition of the absolute value of a number?

OpenStudy (anonymous):

the absolute value of a number is the distance the number is from zero

OpenStudy (skullpatrol):

Yes, can "distance" ever be negative?

OpenStudy (anonymous):

yes i belive

OpenStudy (anonymous):

Unfortunately you cant be negative inches feet centimeters or anything away from something.

OpenStudy (skullpatrol):

Explain your belief @Cweezie23

OpenStudy (anonymous):

oh yah true duh sorry im stupid lol

OpenStudy (anonymous):

if you walk behind something, you are still a positive distance

OpenStudy (anonymous):

yah true @cantthink96

OpenStudy (skullpatrol):

So, by definition, |x| must be a positive number, correct?

OpenStudy (anonymous):

correct

OpenStudy (skullpatrol):

So we can replace |x| with "positive" in |x| < -1 or positive < -1 |x| = -1 or positive = -1 |x| > -1 or positive > -1

OpenStudy (anonymous):

so is it #2

OpenStudy (skullpatrol):

Nope.

OpenStudy (skullpatrol):

Is -1 positive?

OpenStudy (anonymous):

no

OpenStudy (skullpatrol):

Then that statement is false.

OpenStudy (anonymous):

so the answer would be the one greatter than -1

OpenStudy (anonymous):

which i thinkk is |x| > -1

OpenStudy (anonymous):

@MathLegend help..am i even close to right

OpenStudy (mathlegend):

You are correct... any and all positive numbers are greater than a negative one... right? :)

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Hey mathlegend, you're everywhere.

OpenStudy (skullpatrol):

Thanks for trying to understand :)

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