clara1223
  • clara1223
Solve the inequality for x given that ((x-5)^2)(28-4x)>0 a) (-inf,-5)U(7,inf) b) (-5,0)U(0,7) c) (-inf,5)U(5,7) d) (-5,0)U(5,inf) e) (-inf,5)U(5,inf)
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
pretty much ignore the \((x-5)^2\) term because it is always positive unless \(x=5\) in which case it is zero i.e. solve \(28-4x>0\) in two steps
clara1223
  • clara1223
I solved for x and got x<7, now what?
anonymous
  • anonymous
when in doubt, Charlie out

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anonymous
  • anonymous
really it is \(x<7\) and \(x\neq 5\) C gives that in interval notation
clara1223
  • clara1223
oh, I see, thank you!
anonymous
  • anonymous
yw

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