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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Answer 1

To solve the inequality 5x/9 < 8, we can multiply both sides of the inequality by 9 to get rid of the denominator:

5x < 8 * 9
5x < 72

Now we can divide both sides of the inequality by 5 to solve for x:

x < 72/5

To express the improper fraction 72/5 as a mixed number, we divide 72 by 5:

72 ÷ 5 = 14 remainder 2

So, the mixed number representation of 72/5 is 14 2/5.

Therefore, the solution to the inequality is x < 14 2/5.