Question

|2x-1|-|1/3x+2|=3 with x>1/2

Answer 1

What's your plan?

Do you know that |x| = x when x is positive?

Answer 2

Search x

Answer 3

Yes i know but how it do

Answer 4

What is the nature of (2x-1) when we KNOW that x > 1/2? Is it EVER negative?

Answer 5

Ok...i know but it is all threads

Answer 6

?? Nonresponsive.

2x-1 > 0
2x > 1
x > 1/2

(1/3)x+2 > 0
(1/3)x > -2
x > -6

So, for x > 1/2, BOTH absolute value expressions are strictly positive. The absolute values can be simply discarded.

Solve this:
(2x-1)-((1/3)x+2)=3

Answer 7

Ok thank you