SOLUTION: The solution of set of |2x-2| >2 is the set of all x values where the graph y = |2x-2|? The line y = 2 A. Is above B. Is below C. Intersects D. Does not intersect

Algebra ->  Coordinate-system -> SOLUTION: The solution of set of |2x-2| >2 is the set of all x values where the graph y = |2x-2|? The line y = 2 A. Is above B. Is below C. Intersects D. Does not intersect      Log On


   

Question 938447: The solution of set of |2x-2| >2 is the set of all x values where the graph y = |2x-2|? The line y = 2
A. Is above
B. Is below
C. Intersects
D. Does not intersect
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
abs%282x-2%29%3E2
2%2Aabs%28x-1%29%3E2%2A1
abs%28x-1%29%3E1

If you want the expression to be y, then
y=abs%28x-1%29 is y=x-1 when x-1>=0 or x%3E=1;
and
y=-x%2B1 when x-1<0 or x%3C1.

One of those does have a corresponding value for x when y=2.

CHECK y=2 for the condition x>=1.
x=y-1
x=2-1
x=1
Intersection at (1,2).
CHECK y=2 for condition x<1.
x=-y+1
x=-2+1
x=-1
Seems not allowed for this condition.

Just one intersection at (1,2).