Question

solve the inequality and graph the solution.
\\(\frac{w}{2} - 1 leq 1\\)
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.
-5 -4 -3 -2 -1 0 1 2 3 4 5

Explanation:

Step1: Add 1 to both sides

$$\frac{w}{2} - 1 + 1 \leq 1 + 1$$
$$\frac{w}{2} \leq 2$$

Step2: Multiply both sides by 2

$$\frac{w}{2} \times 2 \leq 2 \times 2$$
$$w \leq 4$$

Step3: Graph the solution

On the number line, plot a closed endpoint at 4 (since the inequality includes equality, $w \leq 4$), then draw an arrow pointing to the left (towards negative infinity) to represent all values less than or equal to 4.

Answer:

The solution to the inequality is $w \leq 4$. For the graph: place a closed dot at 4 on the number line, and draw a ray extending to the left from this point.