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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1 answer

To solve the inequality 5x/9 < 8, we need to isolate x.

We can start by multiplying both sides of the inequality by 9 to get rid of the fraction:
(5x/9) * 9 < 8 * 9
Canceling out the 9's on the left side, we are left with:
5x < 72

Next, we divide both sides of the inequality by 5 to solve for x:
(5x)/5 < 72/5
Canceling out the 5's on the left side, we have:
x < 14.4

Since x represents a real number, we need to round down to the nearest whole number. Thus, x < 14.

Therefore, the solution to the inequality 5x/9 < 8 is x < 14.