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)
Let x be the cost of each journal.
The cost of 4 journals is 4x.
The remaining amount after the purchase is $36 - 4x.
The inequality for the remaining amount is: 36 - 4x < 12.
Solving this inequality:
36 - 4x < 12
Subtracting 36 from both sides: -4x < 12 - 36
Simplifying: -4x < -24
Dividing both sides by -4 and reversing the inequality sign (since we are dividing by a negative number): x > -24 / -4
Simplifying: x > 6
Therefore, the solution set for x is x > 6.