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Absolute Slalom

This is a slalom skiing game- all you have to do is stay between the poles! Their x positions will be the endpoints of the interval being described.

Swipe left/right to move, and up/down to change speed.

Lesson

Inequalities with absolute values, like |x - 5| ≤ 2, can be thought of as a range of numbers on the real line, centered around a point.

For instance the set of all real x satisfying |x - 5| ≤ 2 is the interval of all numbers on the real line that are within 2 units from 5, so the interval [3, 7].

If the symbol is < instead of ≤ it's the same set but without the endpoints, so the set of all real x satisfying |x - 5| < 2 means the open interval (3, 7).

Nothing to see here...