Intermediate Algebra, Chapter 2, Test, Section Test, Problem 20

Evaluate the compound inequality $3x \geq 6$ and $x-4 < 5$


$
\begin{equation}
\begin{aligned}
3x &\geq 6 && \text{and} & x - 4 &< 5
&& \text{Solve for } x\\
\\
x &\geq 2 && \text{and} & x &< 9
\end{aligned}
\end{equation}
$

Since the inequalities are joined with $and$, find the intersection of the two solution.
The intersection is shown and is written as $[2,9)$