Example 1
Completion requirements
| Example 1 |
Solve the inequality \(3x + 4 \gt 15 - x\). Represent the solution set on a number line.
The solution set is {\(x | x \gt \! \frac{11}{4}\!, \thinspace x \in \rm{R}\)}.
\[\begin{align}
3x + 4 &\gt 15 - x \\
4x &\gt 11 \\
x &\gt \frac{11}{4}
\end{align}\]
3x + 4 &\gt 15 - x \\
4x &\gt 11 \\
x &\gt \frac{11}{4}
\end{align}\]
The solution set is {\(x | x \gt \! \frac{11}{4}\!, \thinspace x \in \rm{R}\)}.