Question

graph the solution to the inequality on the number line. |y|≥4

Explanation:

Step1: Recall absolute - value inequality rule

The inequality \(|y|\geq4\) is equivalent to two inequalities: \(y\geq4\) or \(y\leq - 4\).

Step2: Graph on number line

On the number - line, we place a closed circle at \(y = 4\) (because \(y\) can be equal to 4) and draw an arrow to the right to represent \(y\geq4\). We also place a closed circle at \(y=-4\) (because \(y\) can be equal to - 4) and draw an arrow to the left to represent \(y\leq - 4\).

Answer:

Graph: Place closed circles at \(y = - 4\) and \(y = 4\) on the number line. Draw an arrow to the left from \(y=-4\) and an arrow to the right from \(y = 4\).