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.
