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's assume the cost of each journal is x dollars.
Olivia bought 4 journals, so the total cost of the journals is 4x dollars.
After purchasing the 4 journals, Olivia had less than $12 remaining, which can be represented as:
36 - 4x < 12
Now, let's solve this inequality to find the solution set for x:
36 - 4x < 12
Subtract 36 from both sides of the inequality:
-4x < 12 - 36
-4x < -24
Divide both sides of the inequality by -4, remembering to reverse the inequality sign when dividing by a negative number:
x > (-24)/(-4)
x > 6
Therefore, the solution set for x is x > 6, which means the cost of each journal must be greater than $6.