Modulus n00b

  • #1
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 dont know what to do for "and hence find all solutions of
|2x|=|3-x|+2"

Please help :D Any help would be much appreciated
 

Answers and Replies

  • #2
437
1
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.
 
  • #3
intersects at (1.6666666666666,2) and (-5,2)
 
  • #4
437
1
][nstigator said:
intersects at (1.6666666666666,2) and (-5,2)

Correct. So x = 5/3 or x = -5. Check it against the equation.
 
  • #5
ah k coolies :D
 

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