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)

1 answer

Let's assume x is the cost of each journal.

The total cost of 4 journals is 4x.
According to the problem, Olivia had $36 allocated for the purchase.

Therefore, 4x ≤ 36.

Following the purchase, Olivia had less than $12 remaining.

Therefore, 36 - 4x < 12.

Simplifying the inequality:

-4x < 12 - 36,

-4x < -24.

Dividing both sides of the inequality by -4:

x > -24/-4,

x > 6.

Therefore, the solution set for x, representing the cost of each journal, is x > 6.