Question

solve the inequality and graph the solution.
6 > y + 5
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.

Explanation:

Step1: Subtract 5 from both sides

$$6 - 5>y+5 - 5$$

Step2: Simplify the inequality

$$1>y$$
which can be written as \(y < 1\)

Answer:

The solution of the inequality \(6>y + 5\) is \(y < 1\). On the number - line, we plot an open circle at \(y = 1\) (because the inequality is strict, \(y\) is not equal to \(1\)) and draw a ray to the left of \(1\) to represent all values of \(y\) that are less than \(1\).