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/sci/ - Science & Math

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4343008 No.4343008 [Reply] [Original]

How do you read this:

<span class="math">|x - 1| > |x + 1|[/spoiler]

The distance from x and one is larger ... ?

>> No.4343013

The distance between x and 1 is larger than the distance between x and negative 1.

>> No.4343023

the absolute value of x - 1 is larger than ...

>> No.4343030

Nil

>> No.4343034

x is negative

>> No.4343043

x can't be 0

>> No.4343047

X is infinity

>> No.4343083

Metric for reals is <span class="math"> d(x,y) = |x-y| [/spoiler] so we can just say that
<span class="math"> d(x,1) > d(x,-1) [/spoiler].
Which is just "x is closer to -1 than 1."

>> No.4344032

So how would I write the following with an absolute value equation:

<span class="math">The distance from x^2 and 1 is equal to distance from x to 1?[/spoiler]

<span class="math">Is this correct: |x^2 - 1| = |x -1|[/spoiler]

I'm not sure because I'm suppose to get an interval as solution not points,

>> No.4344038

The distance from <span class="math">x^2[/spoiler] and 1 is equal to distance from x to 1?

Sorry, using LaTeX for the first time.

>> No.4344103

Help?

>> No.4344980

>>4343008

are you actually looking for values of x that will satisfy these equations/inequalities or are you just wondering about the wording OP?

>> No.4344983

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