To solve the inequality \( \frac{2}{3}x \leq 5 \), follow these steps:
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Isolate \( x \):
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Multiply both sides by \( 3 \) to eliminate the fraction: \[ 2x \leq 15 \]
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Next, divide both sides by \( 2 \): \[ x \leq 7.5 \]
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Graphing the solution:
- The solution indicates that \( x \) can take any value less than or equal to \( 7.5 \).
- On a number line, this can be represented with a closed circle at \( 7.5 \) to indicate that \( 7.5 \) is included in the solution set, and a line extending to the left to show that all numbers less than \( 7.5 \) are included.
Now, you can compare this with the given graphs to identify which one accurately represents the solution \( x \leq 7.5 \). Look for a closed circle at \( 7.5 \) with a line extending to the left (towards negative infinity). If you need to discuss or analyze the specific graphs provided, feel free to describe them!