Question

solve the inequality. graph the solution. 7.2 > 0.9(n + 8.6) the solution is .

Explanation:

Step1: Divide both sides by 0.9

To isolate the parentheses, divide each side of the inequality \( 7.2 > 0.9(n + 8.6) \) by \( 0.9 \).
\( \frac{7.2}{0.9} > n + 8.6 \)
Calculating \( \frac{7.2}{0.9} \), we get \( 8 > n + 8.6 \).

Step2: Subtract 8.6 from both sides

Subtract \( 8.6 \) from both sides to solve for \( n \):
\( 8 - 8.6 > n \)
Calculating \( 8 - 8.6 \), we get \( -0.6 > n \), or equivalently \( n < -0.6 \).

Answer:

\( n < -0.6 \) (For the graph, select the number line with an open circle at \( -0.6 \) and an arrow pointing to the left, indicating all values less than \( -0.6 \).)