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.

Answer 1

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.