Question

problem 1
click and drag to graph all the solutions to the inequality
|x| ≥ 3.

Explanation:

Step1: Solve the absolute value inequality

For \(|x|\geq3\), it means \(x\geq3\) or \(x\leq - 3\).

Step2: Analyze the graph

On the number - line, for \(x > 3\), we have an open circle at \(x = 3\) and an arrow pointing to the right (since \(x\) can be any number greater than \(3\)). For \(x < - 3\), we have an open circle at \(x=-3\) and an arrow pointing to the left (since \(x\) can be any number less than \(-3\)).

Answer:

The graph of \(|x|\geq3\) has an open circle at \(x = 3\) with an arrow to the right and an open circle at \(x=-3\) with an arrow to the left.