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QUESTION IMAGE

solve the inequality and graph the solution. $v - 6 \\leq 2$ to draw a …

Question

solve the inequality and graph the solution.
$v - 6 \leq 2$
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: Solve the inequality

Add \(6\) to both sides of \(v - 6\leq2\).
\(v-6 + 6\leq2 + 6\)

Step2: Simplify

\(v\leq8\)

To graph \(v\leq8\):

  • Plot a closed endpoint at \(8\) (because the inequality is \(\leq\), which includes equality).
  • Draw an arrow to the left (since \(v\) is less than or equal to \(8\)).

Answer:

The solution of the inequality \(v - 6\leq2\) is \(v\leq8\). On the number - line, there is a closed circle at \(8\) and an arrow pointing to the left.