## Elementary Algebra

RECALL: $|a| = k \longrightarrow a = k \text{ or } a = -k$ Use the rule above to obtain: $|x-1| = 4 \longrightarrow x-1 = 4 \text{ or } x - 1 = -4$ Solve each equation to obtain: $x-1 = 4 \text{ or } x - 1 = -4 \\x = 4+1 \text{ or } x = -4+1 \\x = 5 \text{ or } x = -3$ Thus, the solution set of the given equation is $\left\{-3, 5\right\}$. Therefore, the given statement is false.