Question

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)

Answer 1

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

Answer 2

I solved for x and got x<7, now what?

Answer 3

when in doubt, Charlie out

Answer 4

really it is \(x<7\) and \(x\neq 5\)
C gives that in interval notation

Answer 5

oh, I see, thank you!

Answer 6

yw