Olivia visited a stationery shop to buy journals.
She had $35 allocated for the purchase.
Olivia bought 4 journals
following the purchases, Olivia had less than $12 remaining
What is the solution set for x, representing the cost of each journal?
x > $3
x >$4
x > $5
x> $6
The solution set for x, representing the cost of each journal, would be x > $6.
Can you solve it? Like show the steps
Sure! Let's solve it step by step.
Let's assume the cost of each journal is x dollars.
According to the given information:
Olivia bought 4 journals, so the total cost of all the journals is 4x dollars.
Olivia had $35 allocated for the purchase.
After purchasing the journals, she had less than $12 remaining.
So, after spending 4x dollars on journals, Olivia had less than $12 remaining.
This can be written as:
35 - 4x < 12
Now, let's solve this inequality for x:
Subtracting 35 from both sides:
-4x < 12 - 35
-4x < -23
Dividing both sides by -4, and remember that when we divide by a negative number, we need to flip the inequality sign:
x > -23 / -4
x > 5.75
However, we are looking for the cost of each journal in dollars, so the solution set should be in dollars and rounded up.
Therefore, the solution set for x is x > $6.
So, the cost of each journal should be more than $6.