Question

I have a simple question #17


\[\left| 4-3x \right|=3x-4\]
what is the set of answers of x?

Answer 1

|4-3x|=3x-4

4-3x=+-(3x-4)

4-3x=3x-4

4-6x=-4

-6x=-8

x=4/3

Answer 2

For the 4-3x=-(3x-4) I don't think you get any value for x

Answer 3

4-3x = -(3x-4)

4-3x = -3x +4

0=0

Any x is a solution, so set is all real numbers

Answer 4

cant be all real number try x=1

Answer 5

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.

Answer 6

oh yeah, only if 3x-4 is positive

x>= 4/3