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) Responses x>$3 x is greater than 3 dollars x>$4 x is greater than 4 dollars x>$5 x is greater than 5 dollars x>$6 x is greater than 6 dollars, double check your answer
Olivia had $36 allocated for the purchase, and she bought 4 journals. We need to find the cost of each journal, represented by x.
Let's assume that the cost of each journal is x dollars.
The total cost of 4 journals is 4x dollars.
We know that Olivia had less than $12 remaining after the purchase. So, we can write the equation:
$36 - 4x < $12
Subtracting $36 from both sides, we get:
-4x < -$24
Dividing both sides by -4 (and flipping the inequality sign because we are dividing by a negative number), we get:
x > $6
Therefore, the solution set for x is x > $6.