Question

solve the inequality and graph the solution.\\(2w + 5 \leq -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: Subtract 5 from both sides

$2w + 5 - 5 \leq -7 - 5$
$2w \leq -12$

Step2: Divide by 2 on both sides

$\frac{2w}{2} \leq \frac{-12}{2}$
$w \leq -6$

Step3: Graph the solution

On the number line, plot a closed endpoint at $-6$ (since the inequality includes equality, $\leq$), then draw a ray pointing left (towards negative infinity) to represent all values less than or equal to $-6$.

Answer:

The solution to the inequality is $w \leq -6$. The graph has a closed endpoint at $-6$ with a ray extending leftward to include all values smaller than $-6$.