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

Question

Make sure to write your inequality so that x comes first

Answer 1

To solve the inequality 5x/9 < 8, we first need to multiply both sides of the inequality by 9 to get rid of the fraction. This gives us:

5x < 72

To isolate x, we divide both sides of the inequality by 5:

x < 72/5

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

72 ÷ 5 = 14 remainder 2

So, the mixed number is:

14 and 2/5

The final solution to the inequality is:

x < 14 and 2/5