Solve the equation:
[tex]|x-2|+3>17[/tex]
Subtracting 3 on both sides of the inequality:
[tex]|x-2|>14[/tex]
The solutions to this inequality come from the following conditions:
[tex]\begin{gathered} x-2>14 \\ \\ OR \\ \\ x-2\lt-14 \end{gathered}[/tex]
Adding 2 to both inequalities:
[tex]\begin{gathered} x>16 \\ \\ OR \\ \\ x\lt-12 \end{gathered}[/tex]
Answer: First choice
