Free interactive math game: Integer Solutions |x| < N — How many integers?. Part of the Absolute Value category on MathKite.
Taken from the generator that powers this exercise. A fresh set appears every time the page is opened, and the printable worksheet holds ten of them.
Counting the whole numbers that satisfy an absolute-value inequality.
Find the interval the inequality describes, then count the integers inside it, watching whether the endpoints belong.
Absolute value of x at most 3 holds for -3, -2, -1, 0, 1, 2 and 3 — seven integers.
Forgetting zero. It sits in nearly every such interval and is easily skipped.