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 represent the cost of each journal.
The total cost of the 4 journals is 4x dollars.
After the purchase, Olivia had less than $12 remaining, so the amount remaining is less than $12.
This can be represented as:
$36 - 4x < $12
Subtracting $36 from both sides:
-4x < $12 - $36
Simplifying:
-4x < -$24
Dividing both sides by -4 (and reversing the inequality):
x > $6
Therefore, the cost of each journal x is greater than $6.