Absolute value rule

**Stroodle** · June 15th 2009, 03:20 AM

Hi, could someone please explain to me the reasoning behind the following rule.

$If \;a\geq 0,\;\lvert x-k\rvert\leq a\;is\;equivalent\;to\;k-a\leq x\leq k+a$

I'm only just starting to learn absolute values.

Thanks

**stapel** · June 15th 2009, 03:42 AM

Originally Posted by Stroodle

Hi, could someone please explain to me the reasoning behind the following rule.

$If \;a\geq 0,\;\lvert x-k\rvert\leq a\;is\;equivalent\;to\;k-a\leq x\leq k+a$

For an illustrated explanation, try here.

**Stroodle** · June 15th 2009, 04:00 AM

Awesome. That's was really simple to understand. Just what I needed

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