Question

1. solve the inequality. please graph the solution in the space provided.

( n - 17 > -2 )

Explanation:

Step1: Add 17 to both sides

To solve the inequality \( n - 17 > -2 \), we add 17 to both sides of the inequality. This is based on the addition property of inequalities, which states that if we add the same number to both sides of an inequality, the direction of the inequality sign remains the same.

\[
n - 17 + 17 > -2 + 17
\]

Step2: Simplify both sides

Simplifying the left - hand side, \( n-17 + 17=n \). Simplifying the right - hand side, \( - 2+17 = 15 \). So we get:

\[
n>15
\]

To graph this solution on the number line: We draw an open circle at \( n = 15 \) (because the inequality is \( n>15 \), not \( n\geq15 \)) and then draw an arrow to the right of 15 to represent all the numbers greater than 15.

Answer:

The solution to the inequality \( n - 17>-2 \) is \( n > 15 \). The graph has an open circle at 15 and an arrow pointing to the right.