Solve 5x/9<8 . Write the improper fraction in your answer as a mixed number

Answer 1

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

First, we multiply both sides of the inequality by 9 to get rid of the fraction:

9 * (5x/9) < 9 * 8
5x < 72

Next, we divide both sides of the inequality by 5:

(5x) / 5 < 72 / 5
x < 14.4

To express the answer as a mixed number, we can write 14.4 as a mixed number by separating the whole number part and the fractional part.

14.4 can be written as 14 + 0.4.

Therefore, the solution to the inequality 5x/9 < 8, written as a mixed number, is x < 14 + 0.4.