# SOLUTION: Find the solution set. |2x-2| is < or = to 2

Algebra ->  Algebra  -> Absolute-value -> SOLUTION: Find the solution set. |2x-2| is < or = to 2      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Algebra: Absolute value Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on absolute-value Question 33565: Find the solution set. |2x-2| is < or = to 2Answer by longjonsilver(2297)   (Show Source): You can put this solution on YOUR website!y = |2x-2| means 2 straight lines: 2x-2 and -(2x-2). They form a V-shaped graph, as shown: The question is asking "for what values of x is this graph less than or equal to y=2. Lets look at both these graphs: Looking at the graph, the V-shape is less than or equal to the y=2 horizontal line between x=0 and x=2. These are the answers. Lets now try to get these 2 answers through algebra: and note the < has changed to a > So, and or which matches the findings from the graph jon.