Answer:
{-8, 8}
Step-by-step explanation:
Simplify 7· |n| = 56 by dividing both sides by 7:
|n| = 8
Because this is an absolute value equation, there are two separate solutions. One is n = +8 and the other is n = -8.
There are two solutions.
[tex]
7\times\mid n\mid=56\Longrightarrow\mid7n\mid=56 \\
\mid7\times x_1\mid=56\Longrightarrow x_1=\frac{56}{7}=\boxed{8} \\
\mid7\times(-x_1)\mid=56\Longrightarrow-x_2=\frac{56}{7}\Longrightarrow x_2=\boxed{-8}
[/tex]
