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?
Let x be the cost of each journal.
Olivia spent a total of 4*x dollars on the journals.
She had 36-4*x dollars remaining.
We know that 36-4*x<12.
Subtracting 36 from both sides, we get -4*x<-24.
Dividing both sides by -4, we get x>6.
Therefore, the solution set for x, representing the cost of each journal, is x>6. Answer: \boxed{x>6}.