Question

solve the inequality and graph the solution.
7g - 7 ≤ 7
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: Add 7 to both sides

$$7g - 7+7\leq7 + 7$$
$$7g\leq14$$

Step2: Divide both sides by 7

$$\frac{7g}{7}\leq\frac{14}{7}$$
$$g\leq2$$

Answer:

The solution of the inequality \(7g - 7\leq7\) is \(g\leq2\). On the number - line, we plot a closed circle at \(2\) (since the inequality includes equality, i.e., \(g = 2\) is part of the solution) and draw a ray to the left of \(2\) (because \(g\) can be any number less than or equal to \(2\)).