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Completion requirements
Determine the solution set to \(3a - 1 \le 17 - 5a\). Show the solution
set on a number line. Use a value of the solution set to verify the
solution.
The solution set is {\(a | a \le \frac{9}{4}, \thinspace a \in \rm{R}\)}.
Verification using \(x = 0\):
\[\begin{align}
3a - 1 &\le 17 - 5a \\
8a &\le 18 \\
a &\le \frac{9}{4}
\end{align}\]
3a - 1 &\le 17 - 5a \\
8a &\le 18 \\
a &\le \frac{9}{4}
\end{align}\]
Verification using \(x = 0\):
| Left Side | Right Side |
|---|---|
| \(\begin{array}{r} 3a - 1 \\ 3\left( 0 \right) - 1 \\ - 1 \end{array}\) |
\(\begin{array}{l} 17 - 5a \\ 17 - 5\left( 0 \right) \\ 17 \end{array}\) |
| LS \(\le \) RS | |