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

Answer 1

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.