√x < 5

To solve the inequality \( \sqrt{x} < 5 \), follow these steps: 1. **Square both sides**: Since both sides of the inequality are positive (as a square root yields non-negative values), you can square both sides without reversing the inequality: \[ (\sqrt{x})^2 < 5^2 \] 2. **Simplify**: \[ x < 25 \] 3. **Consider the domain**: The square root function is defined for \( x \geq 0 \). Thus, we combine the inequality with the domain: \[ 0 \leq x < 25 \] The solution set is: \[ [0, 25) \]