twelve less than for-fifths 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
To solve the inequality 4/5n - 12 > 24, we can start by isolating the variable "n".
Adding 12 to both sides of the inequality, we get:
4/5n - 12 + 12 > 24 + 12
4/5n > 36
To get rid of the 4/5 coefficient, we can multiply both sides of the inequality by the reciprocal of 4/5, which is 5/4:
(5/4)(4/5)n > (5/4)(36)
n > 45
Therefore, all the possible values of the number are greater than 45.