[tex]|2x + 1| > 5 \\\\ 2x+1 >5 \ \ \ or \ \ \ 2x+1 < -5 \ \ |\ subtract\ 1 \ to\ both\ sides\\\\ 2x >5-1 \ \ \ or \ \ \ 2x < -5 -1\\\\ 2x >4 \ \ \ or \ \ \ 2x < -6\ \ | \ divide \ both \ sides\ by\ 2 \\\\x>2 \ \ \ or \ \ \ x< -3 \\\\Answer : \ C. \ \left \{ x|x > 2 \ \ or \ \ x <-3 \right \} [/tex]