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?
A. x > $3
B. x > $4
C. x > $5
D. x > $6
Olivia had $36 allocated for the purchase and had less than $12 remaining after buying 4 journals.
Assuming each journal costs x dollars, Olivia spent a total of 4x dollars on journals.
This means that after buying the journals, Olivia had $36 - 4x dollars remaining.
We are given that Olivia had less than $12 remaining, so we can set up the inequality:
$36 - 4x < $12
Simplifying this inequality:
-4x < $12 - $36
-4x < -$24
Dividing both sides by -4, we have:
x > $6
Therefore, the solution set for x, representing the cost of each journal, is x > $6.
The correct answer is option D.