SOLUTION: need help just cant figure out these problems , have to solve the equations
|2x-7|=3
|x-6|=|2x+1|
|x-4|<3
|x/3 - 1|≥2
thanks
Algebra ->
Absolute-value
-> SOLUTION: need help just cant figure out these problems , have to solve the equations
|2x-7|=3
|x-6|=|2x+1|
|x-4|<3
|x/3 - 1|≥2
thanks
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Question 958406: need help just cant figure out these problems , have to solve the equations
|2x-7|=3
|x-6|=|2x+1|
|x-4|<3
|x/3 - 1|≥2
thanks Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! need help just cant figure out these problems , have to solve the equations
|2x-7|=3
case 1:
2x-7=3
2x=10
x=5
case 2:
-(2x-7)=3
2x-7=-3
2x=4
x=2
solution: (x=5 or x=2)
..
|x-6|=|2x+1|
case 1
x-6=2x+1
x=-7
..
case 2
x-6=-(2x+1)
x-6=-2x-1
3x=5
x=5/3
solution: x=5/3 or x=-7
..
|x-4|<3
case 1
x-4<3
x<7
..
case2
-(x-4)<3
x-4<-3
x<1
solution: x<7 or x<1
..
|x/3 - 1|≥2
case 1
x/3-1≥2
x/3≥3
x≥9
case2
x/3-1≥-2
x/3≥-1
x≥-3
solution: x=9 or x=-3
note: cases 1 and 2 check out the possibility that what's between the absolute signs could be positive or negative.
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