Solving for x: Graph of y=|2x|-|3-x|

[][nstigator]

1a
Solve for x:
|3x+2|=2|3-x|

Done that part

b
Sketch the graph of y=|2x|-|3-x| and hence find all solutions of
|2x|=|3-x|+2

I have sketched the graph however I don't know what to do for "and hence find all solutions of
|2x|=|3-x|+2"

Please help :D Any help would be much appreciated

 

[ramollari]

Set y = 2 in your graph, and you'll arrive at the same equation. Draw a horizontal line at y = 2 and see where it crosses the graph.

 

[][nstigator]

intersects at (1.6666666666666,2) and (-5,2)

 

[ramollari]

intersects at (1.6666666666666,2) and (-5,2)

Correct. So x = 5/3 or x = -5. Check it against the equation.

 

[][nstigator]

ah k coolies :D