Solve 5x/9 less than 8. Write the improper fraction in your answer as a mixed number.
Make sure to write your inequality so that x comes first
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