√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: \[ [0, 25) \]