Answer :
[tex]6x-21 \geq 3\\
\\
6x \geq 3+21\\
\\
6x \geq 24\\
\\
x \geq \frac{24}{6}\\
\\
\boxed{x \geq 4}[/tex]
[tex]14x+11 \leq -7\\ \\ 14x \leq -7-11\\ \\ 14x \leq -18\\ \\ x \leq \frac{19}{14}\\ \\ x \leq \frac{9}{7}[/tex]
[tex]14x+11 \leq -7\\ \\ 14x \leq -7-11\\ \\ 14x \leq -18\\ \\ x \leq \frac{19}{14}\\ \\ x \leq \frac{9}{7}[/tex]