Mod(x-1) greater than equal to mod (x-3)

1.	Mod(x-1) greater than equal to mod (x-3)
Answer» Find the critical points, here they are 1 and 3.solve for x<1,-(x-1)-(-(x-3))≥0-x+1+x-3≥0-2≥0 (not possible)Thus, x should be greater than 1For 1 ≤ x ≤ 3(x-1)-(-(x-3))≥02x-4≥0x≥2So one solution set is 2≤x≤3For x>3(x-1)-(x-3)≥02≥0Therefore from above two results,x≥2

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