To solve the inequality \( \frac{5x}{9} < 8 \), we want to solve for \( x \).
First, multiply both sides of the inequality by 9 to get rid of the denominator:
\( 5x < 8 \times 9 \)
\( 5x < 72 \)
Now, divide both sides by 5 to solve for \( x \):
\( x < \frac{72}{5} \)
To express \( \frac{72}{5} \) as a mixed number, you divide 72 by 5:
\( 72 \div 5 = 14 \) with a remainder of 2.
So \( \frac{72}{5} \) as a mixed number is 14 and \( \frac{2}{5} \).
The final solution, in inequality format with \( x \) first, is:
\( x < 14\frac{2}{5} \)
Solve 5x/9<8
. Write the improper fraction in your answer as a mixed number. Make sure to write your inequality so that x
comes first.
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, ≥
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