SOLUTION: Find the solution set.
|2x-2| is < or = to 2
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Question 33565: Find the solution set.
|2x-2| is < or = to 2
Answer 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.
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