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 can start by multiplying both sides of the inequality by 9 to get rid of the fraction:

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

5x < 72

Now, to solve for x, we can divide both sides of the inequality by 5:

(5x)/5 < 72/5

x < 14.4

Since the inequality says "less than" and not "less than or equal to," we do not include x = 14.4 in the solution.

Thus, the solution to the inequality 5x/9 < 8 is x < 14.4.

Now, let's represent the improper fraction 14.4 as a mixed number:

14.4 can be written as 14 4/10 (since 4/10 can be simplified to 2/5).

Therefore, the solution to the inequality in mixed number form is x < 14 2/5.