Let's assume x is the cost of each journal.
The total cost of 4 journals is 4x.
According to the problem, Olivia had $36 allocated for the purchase.
Therefore, 4x ≤ 36.
Following the purchase, Olivia had less than $12 remaining.
Therefore, 36 - 4x < 12.
Simplifying the inequality:
-4x < 12 - 36,
-4x < -24.
Dividing both sides of the inequality by -4:
x > -24/-4,
x > 6.
Therefore, the solution set for x, representing the cost of each journal, is x > 6.
Olivia visited a stationery shop to buy journals.
She had $36 allocated for the purchase.
Olivia bought 4 journals.
Following the purchase, Olivia had less than $12 remaining.
What is the solution set for x, representing the cost of each journal?
(1 point)
1 answer