Quadratic Functions, Equations and Inequalities

1. Find all values of \(p\) such that \[ x^2+2px+9>0 \] for every real \(x\).

2. Find all values of \(q\) such that

   \[ -2x^2+4x+q<0 \]for every real \(x\).

Explain why the boundary values are excluded in each answer.