The inequality \( -\frac{9}{4} \leq x \) in interval notation is \( \square \)

The inequality \( -\frac{9}{4} \leq x \) means that \( x \) can take any value greater than or equal to \( -\frac{9}{4} \). In interval notation, we express this as \( \left[-\frac{9}{4}, \infty\right) \). Here, the square bracket indicates that \( -\frac{9}{4} \) is included in the set of solutions. When working with inequalities, it's easy to make mistakes like forgetting to include the endpoint or misreading the direction of the inequality sign. A common tip is to always double-check the signs and ensure you’re using brackets or parentheses correctly. Remember, brackets denote inclusion while parentheses exclude the endpoint!