# Question #bcbfc

Sep 23, 2016

$\left\mid A \right\mid \le 7.3$

#### Explanation:

The answer is $\left\mid A \right\mid \le 7.3$. To show this, remember that
absolute value inequalities can be written as two inequalities.

Write the first as given, but without the absolute value sign.
$\textcolor{red}{A \le 7.3}$

Write the second with a "flipped" direction of the inequality and a negative on the right side.
$\textcolor{b l u e}{A \ge - 7.3}$, which can also be written as $\textcolor{b l u e}{- 7.3 \le A}$
Note that the 2nd is just a "flipped" version of the 1st.

Combining $\textcolor{b l u e}{- 7.3 \le A}$ and $\textcolor{red}{A \le 7.3}$ gives

$\textcolor{b l u e}{- 7.3 \le} \textcolor{p u r p \le}{A} \textcolor{red}{\le 7.3}$