To determine which inequality Paolo solved, we can analyze both options.
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For the inequality \( 2.8x < 10.5 \):
- To solve for \( x \), we divide both sides by 2.8: \[ x < \frac{10.5}{2.8} \approx 3.75 \]
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For the inequality \( 2.1x < 8.4 \):
- To solve for \( x \), we divide both sides by 2.1: \[ x < \frac{8.4}{2.1} = 4 \]
So, the solutions are:
- \( 2.8x < 10.5 \) gives \( x < 3.75 \)
- \( 2.1x < 8.4 \) gives \( x < 4 \)
Depending on the number line representation Paolo used, if he graphed a solution for \( x < 3.75 \), he solved the first inequality \( 2.8x < 10.5 \). If he graphed \( x < 4 \), he solved the second one.
Without the graph, we can't definitively determine which inequality he solved, but we can see the numerical results.
If Paolo's solution indicated a cutoff below 3.75 was shown, the answer is \( 2.8x < 10.5 \). If it was below 4, then it was \( 2.1x < 8.4 \). Please check the graph Paolo created to make a final determination.
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