Question

solve the inequality and graph the solution.
10 + 6y > 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.

Explanation:

Step1: Subtract 10 from both sides

$$10 + 6y-10>4 - 10$$
$$6y>-6$$

Step2: Divide both sides by 6

$$\frac{6y}{6}>\frac{-6}{6}$$
$$y > - 1$$

To graph \(y>-1\), we plot an open - circle at \(y = - 1\) (because the inequality is strict, i.e., \(y\) is not equal to \(-1\)) and draw an arrow to the right (since \(y\) values greater than \(-1\) satisfy the inequality).

Answer:

The solution of the inequality \(10 + 6y>4\) is \(y>-1\). On the number - line, we have an open circle at \(-1\) and a ray extending to the right.