Solve 5x/9 < 8

5 answers

To solve the inequality 5x/9 < 8, we can follow these steps:

1. Multiply both sides of the inequality by 9 to eliminate the denominator:
9 * (5x/9) < 9 * 8
5x < 72

2. Distribute the 9 to the terms on the right side:
5x < 72

3. Divide both sides of the inequality by 5 to isolate the variable x:
(5x)/5 < 72/5
x < 72/5

Therefore, the solution to the inequality 5x/9 < 8 is x < 72/5.
The simplified form of 72/5 is 14.4.
write the answer as a mixed number
To write 72/5 as a mixed number, we divide 72 by 5:

72 รท 5 = 14 remainder 2

Therefore, the mixed number is 14 2/5.