Question

solve the inequality and graph the solution.

$w + 1 leq 7$

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: Isolate the variable \( w \)

Subtract \( 1 \) from both sides of the inequality \( w + 1\leq7 \).
$$w+1 - 1\leq7 - 1$$

Step2: Simplify the inequality

Simplify both sides.
$$w\leq6$$

To graph \( w\leq6 \):

• Plot a closed endpoint at \( 6 \) (because the inequality is \(\leq\), which includes \( 6 \)).
• Draw an arrow to the left (since \( w \) is less than or equal to \( 6 \)).

Answer:

The solution of the inequality is \( w\leq6 \). On the number - line, there is a closed circle at \( 6 \) and an arrow pointing to the left.