Step 1 :The given inequality is \(3x \geq -15\).
Step 2 :To solve for \(x\), we need to isolate \(x\) on one side of the inequality. We can do this by dividing both sides of the inequality by \(3\).
Step 3 :The solution to the inequality \(3x \geq -15\) is \(x \geq -5\). This means that any number greater than or equal to -5 is a solution to the inequality.
Step 4 :The solution to the inequality is \(\boxed{x \geq -5}\).