To solve the inequality 5x/9 < 8, we can start by multiplying both sides of the inequality by 9 to get rid of the fraction and isolate x. Remember, when multiplying or dividing both sides of an inequality by a negative number, the direction of the inequality sign should be flipped.
5x < 72
To get x by itself, we can divide both sides of the inequality by 5.
x < 72/5
Now, let's simplify the fraction 72/5 as a mixed number.
72 divided by 5 equals 14 with a remainder of 2, so the mixed number representation of 72/5 is 14 2/5.
Therefore, the solution to the inequality 5x/9 < 8 is x < 14 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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