And I encourage you to watch this video over and over and over again, if it helps. So, graphically, the solution looks like this: The open circles at the ends of the blue line indicate "up to, but not including, these points. Since the inequality actually had the absolute value of the variable as less than the constant term, the right graph will be a segment between two points, not two rays.

So let's say we have the absolute value of 7x is greater than or equal to Nineteen and 24 are five units apart. And on this side of the equation-- this cancels out-- we just have a w is greater than or equal to negative 2. Likewise, up here, anything greater than positive 21 will also have an absolute value greater than And I really want you to understand this.

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Solving absolute value equations and inequalities (Algebra 1, Linear inequalitites)