Question

1. solve the inequality and graph the solution.

$5 < -8v + 13$

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.

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Explanation:

Step1: Subtract 13 from both sides

$5 - 13 < -8v + 13 - 13$
$-8 < -8v$

Step2: Divide by -8, reverse inequality

$\frac{-8}{-8} > \frac{-8v}{-8}$
$1 > v$ or $v < 1$

Step3: Graph setup explanation

On the number line, plot an open circle at 1 (since $v < 1$ does not include 1), then draw an arrow pointing left from 1 to represent all values less than 1.

Answer:

The solution to the inequality is $v < 1$.
For the graph: Plot an open endpoint at 1, then draw an arrow extending to the left from this endpoint to cover all values less than 1.