Answer
True
Work Step by Step
We will solve the equation to see if it has a solution or not:
Step 1: $\sqrt[3] {x-1}=2$
Step 2: Raising each side of the equation to the power of $3$ and simplifying, we find:
$(\sqrt[3] {x-1})^{3}=(2)^{3}$
$x-1=8$
Step 3: Solving the equation, we find:
$x-1=8$
$x=8+1$
$x=9$
This shows that the equation does indeed have a solution, which means that the question statement is true.
