SOLUTION: /2x-3/=7 find the solution set for the equation /x-4/=4 find the solution set for the equation

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Question 27626: /2x-3/=7 find the solution set for the equation
/x-4/=4 find the solution set for the equation

Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
ok, first for the easier part:
2x-3=7
2x = 10
x = 5

this solution is seen on the graph of y=2x-3 and y=7... they intersect at x=5, as shown: graph%28200%2C200%2C-10%2C10%2C-25%2C25%2C2x-3%2C+7%29

Now the action of the modulus around the 2x-3 means that it will not allow negative values of y, so to the left of x=1.5, the straight line will "break" into a V shape and head back up to the top left

Now, mathematically, to see this "rebounded" portion of the line, we put a negative sign in front of the equation, like -(2x-3) = 7.

-2x+3 = 7
-2x = 4
x = -2

This can be seen if we ploy y = -(2x-3) against y=7, as shown: graph%28200%2C200%2C-10%2C10%2C-25%2C25%2C-2x%2B3%2C+7%29

jon.