Section 1.5 Math Content
This section helps with testing aspects of math content.
Checkpoint 1.5.1 . Math Elements and Alignment.
In this exercise we demonstrate the allowed math elements: <m>, <me>, and <md>. The last of these may have attribute @alignment with options gather, align, or alignat. The first two are used by default, depending on if you have & or \amp in your math.
Activate
If \(a=5\) and \(b=12\text{,}\) then
\begin{equation*}
a^2+b^2=13^2\text{.}
\end{equation*}
Here, we solve an equation.
\begin{equation*}
\begin{aligned}
2x+1 \amp= 3\\
2x \amp= 2\\
x \amp= 1
\end{aligned}
\end{equation*}
Here we have a three-way inequality to solve.
\begin{equation*}
\begin{gathered}
1 \lt 2x+1 \lt 3\\
0 \lt 2x \lt 2\\
0 \lt x \lt 1
\end{gathered}
\end{equation*}
And here, we see a system of equations.
\begin{equation*}
\begin{alignedat}{3}
2x + 2y \amp {}+{} \amp z \amp {}={} \amp 10\\
y \amp {}-{} \amp 4z \amp {}={} \amp 9\\
\amp\amp 3z \amp {}={} \amp -6
\end{alignedat}
\end{equation*}
Checkpoint 1.5.2 . Intertext.
With an <md> you might have <intertext> among the rows.
Activate
Here, we solve an equation.
\begin{equation*}
\begin{aligned}
2x+1 \amp= 3
\end{aligned}
\end{equation*}
Now subtract \(1\) from each side.
\begin{equation*}
\begin{aligned}
2x \amp= 2
\end{aligned}
\end{equation*}
Now divide by \(2\) on each side.
\begin{equation*}
\begin{aligned}
x \amp= 1
\end{aligned}
\end{equation*}
We should also test when the <md> is within a list.
Start a list.
\begin{equation*}
\begin{aligned}
2x+1 \amp= 3
\end{aligned}
\end{equation*}
Now subtract \(1\) from each side.
\begin{equation*}
\begin{aligned}
2x \amp= 2
\end{aligned}
\end{equation*}
Now divide by \(2\) on each side.
\begin{equation*}
\begin{aligned}
x \amp= 1
\end{aligned}
\end{equation*}
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