Tweive less than four 4itths of a number is more than 24, What are all the possible values of the number? Lucia wrote the inequality 4/5n - 12 > 24, where n equals the number, to help solve this problem. Solve her inequality, (1 point)
To solve the inequality 4/5n - 12 > 24, we can follow these steps:
1. Add 12 to both sides: 4/5n - 12 + 12 > 24 + 12
This simplifies to: 4/5n > 36
2. Multiply both sides by 5/4 to isolate n: (4/5n)(5/4) > 36(5/4)
This simplifies to: n > 45
Therefore, all the possible values of the number are any number greater than 45.