Question

1. Write the solution set in interval notation: 3x-2 > x-4 or 7x-5 < 3x+3

Answer 1

$3x-2>x-4 \hbox{ or } 7x-5x-4 \\ 3x-x>-4+2 \\ 2x>-2 \\ x>\frac{-2}{2} \\ x>-1 \\ \\ 7x-5$

Answer 2

$3x-2>x-4\ \ | subtract\ x\ \ \ \ \textbf{or}\ \ \ \ 7x-5-4\ \ | add\ 2\ \ \ \ \ \textbf{or}\ \ \ \ 4x-5-2\ \ \ \ \ \textbf{or}\ \ \ \ \ 4x-1\ \ \ \ or\ \ \ \ x$