The problem asks us to solve the inequality $n + 15 > 18$ and graph the solution on a number line.

AlgebraInequalitiesNumber LineAlgebraic Manipulation
2025/4/28

1. Problem Description

The problem asks us to solve the inequality n+15>18n + 15 > 18 and graph the solution on a number line.

2. Solution Steps

To solve the inequality n+15>18n + 15 > 18, we need to isolate nn on one side of the inequality. We can do this by subtracting 15 from both sides of the inequality:
n+1515>1815n + 15 - 15 > 18 - 15
n>3n > 3
This means that nn is greater than

3. Since $n$ is strictly greater than 3, we will represent this on the number line with an open circle at 3 and an arrow extending to the right, indicating all numbers greater than

3.

3. Final Answer

The solution to the inequality n+15>18n + 15 > 18 is n>3n > 3. On the number line, we would plot an open circle at 3, with an arrow extending to the right towards positive infinity.

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