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 Integer inequalities with absolute values Find the set of solutions for |x|<5. We are looking for those integers x whose distance from the origin is less than 5 units. Obviously we are talking about the set {-4,-3,-2,-1,0,1,2,3,4}. The inequality will be true if x has any value between -5 and 5. Find the set of solutions for $|x|\;\ge\;2$ We are looking for those integers x that are at least 2 units away from the origin. Obviously we are talking about the set {...,-5,-4,-3}U{3,4,5,...}.