Question

solve the inequality and graph the solution.
y - 5 > 4
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.
submit

Explanation:

Step1: Solve the inequality

Add \(5\) to both sides of \(y - 5>4\).
$$y-5 + 5>4 + 5$$
$$y>9$$

Step2: Graph the solution

Since \(y>9\), the endpoint at \(y = 9\) is open (not included in the solution set). The graph is a ray starting at \(9\) and extending to the right (towards larger values of \(y\)).

Answer:

The solution of the inequality \(y-5>4\) is \(y>9\). On the number - line, there is an open circle at \(9\) and a ray extending to the right.