My Math Forum Changing the range of mod x

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 April 19th, 2012, 06:21 AM #1 Member   Joined: Apr 2012 Posts: 90 Thanks: 0 Changing the range of mod x Hellow, I have two solutions and am not sure which is right. Let's say I have substituted a for |x| And I solved a to be -2
 April 19th, 2012, 11:09 AM #2 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,155 Thanks: 466 Math Focus: Calculus/ODEs Re: CHanging the range of mod x If you have: $|x|<2$ then you have two cases from the definition of the modulus: i) $x<2$ ii) $-x=<2\:\therefore\>-2" /> The intersection of the two cases is: $$$-2,2$$$ We may also choose to interpret |x| as the distance of x from the origin, which must be less than 2. So plot the two points two units from the origin as endpoints and take everything in between, but not including the endpoints since the inequality is strict.

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