Step-by-step explanation:
[tex] |2x+1|>5\\
\implies 2x+1>5 \: \text{or} \: 2x+1>-5\\
\implies 2x>4 \: \text{or} \: 2x>-6\\
\implies x>2 \: \text{or} \: x>-3\\
\text{Solution set:} x\in ( -\infty, -3)\cup (2, +\infty)[/tex]
