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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To solve the inequality, we need to isolate x on one side of the inequality sign.
Given inequality: 5x/9 < 8
To get rid of the fraction, we can multiply both sides of the inequality by 9:
(9)(5x/9) < 9(8)
5x < 72
Now, divide both sides of the inequality by 5:
(5x)/5 < 72/5
x < 14.4
Therefore, the solution to the inequality is x < 14.4, where x is a real number that is less than 14.4.
Writing this as a mixed number, we have:
x = 14 2/5