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.

Question

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Answer 1

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