Questions: Solve the inequality and graph the solution. v-3 ≤ 1 To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it closed to open. Select the middle of the ray to delete it.

Solve the inequality and graph the solution.
v-3 ≤ 1

To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it closed to open. Select the middle of the ray to delete it.

Transcript text: Solve the inequality and graph the solution. \[ v-3 \leq 1 \] To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it closed to open. Select the middle of the ray to delete it.

Solution

Solution Steps

Step 1: Add 3 to both sides of the inequality

To isolate the variable \(v\), we add 3 to both sides of the inequality: \(v - 3 + 3 \leq 1 + 3\) \(v \leq 4\)

Step 2: Graph the solution

The solution to the inequality \(v \leq 4\) includes all numbers less than or equal to 4. On a number line, we represent this with a closed circle at 4 (since 4 is included in the solution) and an arrow extending to the left, indicating all numbers less than 4.

Final Answer

The solution to the inequality \(v - 3 \leq 1\) is \(v \leq 4\). The graph would be a closed circle at 4 on the number line with an arrow pointing to the left. \( \boxed{v \leq 4} \)

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