Question

solve the inequality and graph the solution.
5 ≥ v - 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: Add 1 to both sides

To solve the inequality \( 5 \geq v - 1 \), we add 1 to both sides to isolate \( v \).

$$ 5 + 1 \geq v - 1 + 1 $$

Step2: Simplify both sides

Simplifying the left and right sides gives:

$$ 6 \geq v $$

which can also be written as \( v \leq 6 \).

For graphing, we plot a closed endpoint at 6 (since the inequality is "less than or equal to") and draw an arrow to the left (towards decreasing values) to represent all numbers less than or equal to 6.

Answer:

The solution to the inequality is \( v \leq 6 \). The graph has a closed dot at 6 and an arrow pointing to the left along the number line.