anonymous
  • anonymous
Solve: (x-1)/(x+3)>4
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
x-1=4(x+3), solve for x
anonymous
  • anonymous
x-1>4(x+3) ***
anonymous
  • anonymous
oops beware!

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Directrix
  • Directrix
-13/3 < x < -3
anonymous
  • anonymous
it might be easier to see when written as (x-1)/(x+3) = 1 + (-4)/(x+3) > 4 so that values of x less than -3 but close enough will work
anonymous
  • anonymous
(x-1)/(x+3) - 4 > 0 (x-1)/(x+3) - 4(x+3)/(x+3) > 0 (x-1-4x-12) / (x+3) > 0 (-3x -13) / (x+3) > 0 x cant be -3 because it will make the denominator zero. then plug any value of x : * between -3 and -13/3 (the value of the left side will be positiive) *larger than -3 (the value of the left side will be negative) *and smaller than -13/3. (the value of the left side will be negative since (-3x -13) / (x+3) > 0 , we need the value of the left side to be positive. therefore the solution is -13/3 < x < -3
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anonymous
  • anonymous
Thank you!

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