Question

solve the inequality and graph the solution.
( y geq 8 + 4 )
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.
0 1 2 3 4 5 6 7 8 9 10
submit

Explanation:

Step1: Simplify the inequality

First, calculate the right - hand side of the inequality \(y\geq8 + 4\). We know that \(8+4 = 12\), so the inequality simplifies to \(y\geq12\). But wait, looking at the number line provided (with marks up to 10), there must be a mistake in my initial reading. Wait, maybe the inequality is \(y\geq8\div4\)? Let's re - examine. If it's \(y\geq8\div4\), then:

Step1: Simplify the right - hand side

Calculate \(8\div4\). Using the division operation, \(8\div4=2\). So the inequality becomes \(y\geq2\).

Step2: Graph the solution

To graph \(y\geq2\) on the number line:

• The endpoint is at \(2\). Since the inequality is "greater than or equal to", the endpoint is a closed circle (filled - in dot) at \(2\).
• Then, we draw a ray starting from the endpoint at \(2\) and pointing to the right (because we want all values of \(y\) that are greater than or equal to \(2\)).

Answer:

The solution to the inequality (assuming it's \(y\geq8\div4\)) is \(y\geq2\). The graph has a closed circle at \(2\) and a ray pointing to the right from \(2\) on the number line.