Problem 79 of 7
Create and solve a root-function inequality from context: sqrt(x-3) <= 5.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
apply domain restriction and solve boundary.
Hidden until you reveal it.
Apply domain restrictions before solving, especially for square-root inequalities.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Write the root inequality and domain.
2. Solve the boundary equation or inequality carefully.
3. Intersect with domain and interpret in context.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Squared inequality solution that ignores radical domain.