Solve each quadratic inequality using the Case Exploration Method.

\begin{gathered}1. \: 2x {}^{2} - 7x + 6 \geqslant 0 \\ 2. \: 4x {}^{2} + 7x < 3 \\ 3. \: 2x {}^{2} + 3x - 2 \geqslant 0 \\ 4. \: 2x {}^{2} + 7x < 4\end{gathered}1.2x2−7x+6⩾02.4x2+7x<33.2x2+3x−2⩾04.2x2+7x<4​