Question

Which inequality describes all the solutions to (x-2) > 3(x+4)

A. X<-7
B x > -5
C. X>7
D. X<5

Answer 1

x

`x < - 7`

Explanation:

`x - 2 > 3 |x + 4| \\ x - 2 > 3x + 12 \\ collect \: like \: term \\ x - 3x > 12 + 2 \\ - 2x > 14 \\ since \: it \: is \: negative \: we \: change \: the \: inequality \: sign \\ - 2x < 14 \\ divide \: both \: sides \: by \: - 2 \\ x < - 7`