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) (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:
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:
jon.
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