solve 5x/9 < 8. write your answer as a mixed number

To solve the inequality 5x/9 < 8, we need to isolate x on one side of the inequality sign.

Multiplying both sides of the inequality by 9 (since the denominator is 9) gives:

5x < 72

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

x < 72/5

To write this as a mixed number, we divide 72 by 5:

72 ÷ 5 = 14 with a remainder of 2

So, the solution is x < 14 2/5.