Question

solve the inequality and graph the solution.
17 + 5n > 7
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.
-5 -4 -3 -2 -1 0 1 2 3 4 5
save an

Explanation:

Step1: Subtract 17 from both sides

To isolate the term with \( n \), we subtract 17 from both sides of the inequality \( 17 + 5n > 7 \). This gives us \( 17 + 5n - 17>7 - 17 \), which simplifies to \( 5n>- 10 \).

Step2: Divide by 5

Next, we divide both sides of the inequality \( 5n>-10 \) by 5 to solve for \( n \). So, \( \frac{5n}{5}>\frac{- 10}{5} \), which simplifies to \( n > - 2 \).

For graphing the solution: We plot an open circle at \( n=-2 \) (since the inequality is \( > \), not \( \geq \)) and draw an arrow to the right (because \( n \) is greater than - 2) on the number line.

Answer:

The solution to the inequality is \( n > - 2 \). For the graph, there is an open circle at - 2 and an arrow pointing to the right.