To solve the inequality \( \frac{2}{3}x \leq 5 \), we can follow these steps:
- Multiply both sides by 3 to eliminate the fraction:
\[ 3 \cdot \frac{2}{3}x \leq 3 \cdot 5 \]
This simplifies to:
\[ 2x \leq 15 \]
- Divide both sides by 2 to solve for \( x \):
\[ \frac{2x}{2} \leq \frac{15}{2} \]
This simplifies to:
\[ x \leq \frac{15}{2} \]
- Convert \(\frac{15}{2}\) into a decimal or mixed number, if necessary:
\[ \frac{15}{2} = 7.5 \]
Thus, the solution to the inequality is:
\[ x \leq 7.5 \]
In interval notation, this can be expressed as:
\[ (-\infty, 7.5] \]
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