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)Responsesx>$3x>$3x is greater than 3 dollarsx>$4x>$4x is greater than 4 dollarsx>$5x>$5x is greater than 5 dollarsx>$6
The cost of each journal can be represented by x.
Given that Olivia had $36 allocated for the purchase and she bought 4 journals, we can set up the equation: 4x + remaining money = allocated money.
Since Olivia had less than $12 remaining, we can set up the inequality: remaining money < $12
Substituting the values into the equation, we get: 4x + remaining money < $12
Substituting the value for remaining money, we get: 4x + $12 < $36
Simplifying the equation: 4x < $24
Dividing both sides of the equation by 4, we get: x < $6
Therefore, the solution set for x, representing the cost of each journal, is x > $3.