Question

Solve the inequality 6x+9>57
. Which of the following graphs shows the solution?(1 point)

Answer 1

To solve the inequality \( 6x + 9 > 57 \), we first isolate \( x \) by following these steps:

1. Subtract 9 from both sides:
\[
6x > 57 - 9
\]
\[
6x > 48
\]

2. Divide both sides by 6:
\[
x > \frac{48}{6}
\]
\[
x > 8
\]

The solution to the inequality \( 6x + 9 > 57 \) is \( x > 8 \).

To represent this on a number line graph:
- You would draw an open circle (or dot) at 8 to indicate that 8 is not included in the solution.
- The graph would extend to the right from 8, indicating all numbers greater than 8.

Please let me know what options you have for the graphs, and I can help you identify which one corresponds to this solution!