Question

solve the inequality and graph the solution.

v + 8 ≤ 9

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 \( v \)

Subtract \( 8 \) from both sides of the inequality \( v + 8\leq9 \).
Using the subtraction property of inequalities \( v+8 - 8\leq9 - 8 \).

Step2: Simplify the expressions

Simplify the left - hand side: \( v+(8 - 8)=v\).
Simplify the right - hand side: \(9 - 8 = 1\). So, \(v\leq1\).

To graph \(v\leq1\):

• Plot a closed endpoint at \(1\) (because the inequality is \(\leq\), which includes the value \(1\)).
• Draw a ray to the left (since \(v\) is less than or equal to \(1\)).

Answer:

The solution of the inequality is \(v\leq1\). On the number line, there is a closed circle at \(1\) and a ray extending to the left.