To solve the inequality \( 5x < 8 \):
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Divide both sides by 5 to isolate \( x \): \[ x < \frac{8}{5} \]
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Now, convert the improper fraction \( \frac{8}{5} \) into a mixed number.
- \( 8 \div 5 = 1 \) with a remainder of \( 3 \).
- So, \( \frac{8}{5} = 1 \frac{3}{5} \).
Thus, the solution is: \[ x < 1 \frac{3}{5} \]
So the final answer with \( x \) first is: \[ x < 1 \frac{3}{5} \]