Question

solve the inequality and graph the solution.
1 + 2g ≤ 9
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: Isolate the term with the variable

Subtract 1 from both sides of the inequality $1 + 2g\leq9$.
$1+2g - 1\leq9 - 1$
$2g\leq8$

Step2: Solve for the variable

Divide both sides of the inequality $2g\leq8$ by 2.
$\frac{2g}{2}\leq\frac{8}{2}$
$g\leq4$

To graph the solution on the number - line:

• The solution of the inequality $g\leq4$ includes 4 and all values less than 4. So we plot a closed circle at 4 (because the inequality is $\leq$) and draw a ray to the left of 4.

Answer:

The solution of the inequality is $g\leq4$. On the number - line, we plot a closed circle at 4 and draw a ray to the left.