Solve 5x/9<8. Write the improper fraction in your answer as a mixed number.
To solve 5x/9 < 8, we can begin by multiplying both sides of the inequality by 9 (to get rid of the fraction):
5x/9 * 9 < 8 * 9
This simplifies to:
5x < 72
Next, we can isolate x by dividing both sides of the inequality by 5:
(5x)/5 < 72/5
This simplifies to:
x < 14.4
So the solution to the inequality is x < 14.4.
To write this as a mixed number, we can express 14.4 as a mixed number by breaking it down into a whole number and a fraction.
The whole number portion is 14, and the fraction portion is 0.4.
Since 0.4 is equivalent to 4/10 or 2/5, the mixed number is 14 and 2/5.