What is the solution to the inequality: \( |x| < 3 \)?

To solve the inequality \( |x| < 3 \), we need to break it down into two separate conditions: \( -3 < x < 3 \). This tells us that any number \( x \) must be greater than -3 and less than 3. Now, let’s visualize this! Imagine a number line: you would mark -3 and 3 and shade the area in between. All the values of \( x \) that you can pick from this shaded area will satisfy the original inequality. So, \( x \) can be anything from just above -3 to just below 3! Fun, right? To ensure you fully understand, it's essential to remember that absolute value inequalities often translate to two inequalities by considering the values from both directions of zero. It’s a great exercise to graph these solutions, as it reinforces the concept of inequalities visually!