Question

solve the inequality and graph the solution.\\(\frac{g + 1}{2} \leq -1\\)\
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.\
(number line with -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 marked)\
submit

Explanation:

Step1: Eliminate denominator (multiply by 2)

$$\frac{g+1}{2} \times 2 \leq -1 \times 2$$
$$g+1 \leq -2$$

Step2: Isolate variable (subtract 1)

$$g+1-1 \leq -2-1$$
$$g \leq -3$$

Step3: Graph setup explanation

• Plot a closed endpoint at $g=-3$ (since the inequality includes equality, $\leq$).
• Draw a ray extending to the left from $-3$ (to represent all values less than or equal to $-3$).

Answer:

The solution to the inequality is $\boldsymbol{g \leq -3}$.
For the graph:

1. Mark a closed dot at $-3$ on the number line.
2. Draw a solid ray starting at $-3$ and pointing left (towards negative infinity) to include all values less than $-3$.