Question

solve the inequality and graph the solution.
1 > \frac{g - 1}{3}
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: Multiply both sides by 3

$$1\times3>\frac{g - 1}{3}\times3$$
$$3>g - 1$$

Step2: Add 1 to both sides

$$3+1>g-1 + 1$$
$$4>g$$

Answer:

The solution of the inequality is \(g<4\). On the number - line, we plot an open circle at \(4\) (because the inequality is strict, \(g
eq4\)) and draw a ray to the left of \(4\) towards \(-\infty\).