If x, y, and are elements of R and x <=z, show that x <= y <= z if and only if |x - y| + |y - z| = |x - z|.

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- Sep 13th 2009, 06:20 PMTreyD0g[SOLVED] real analysis - absolute value
If x, y, and are elements of R and x <=z, show that x <= y <= z if and only if |x - y| + |y - z| = |x - z|.

- Aug 20th 2011, 07:10 AMdgomesRe: [SOLVED] real analysis - absolute value