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I have a simple question #17 \[\left| 4-3x \right|=3x-4\] what is the set of answers of x?
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|4-3x|=3x-4 4-3x=+-(3x-4) 4-3x=3x-4 4-6x=-4 -6x=-8 x=4/3
For the 4-3x=-(3x-4) I don't think you get any value for x
4-3x = -(3x-4) 4-3x = -3x +4 0=0 Any x is a solution, so set is all real numbers
cant be all real number try x=1
if you graph it, you can see that the right-hand side of the absolute value graph is the same line as the line it is equal to. the left-hand side goes off in another direction.
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oh yeah, only if 3x-4 is positive x>= 4/3
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