## Elementary Algebra

RECALL: $|a| = k \longrightarrow a = k \text{ or } a = -k$ In the given equation, $k=0$. Thus, using the rule above gives: $|x+5| = 0 \longrightarrow x+5 = 0$ Solve the equation to obtain: $x+5=0 \\x=-5$ Thus, the solution set of the given equation is $\left\{-5\right\}$. Therefore, the given statement is false.