To solve the inequality \( 6x + 9 > 57 \), we first isolate \( x \) by following these steps:
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Subtract 9 from both sides: \[ 6x > 57 - 9 \] \[ 6x > 48 \]
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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!
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