George went to the store to buy notebooks.
• He had $36 to spend.
• He purchased 4 notebooks.
• After buying the notebooks, George had less than $12 left.
What is the solution set for x, the cost of each notebook?
Let's assume that the cost of each notebook is x dollars.
Since George purchased 4 notebooks, the total cost of the notebooks is 4x dollars.
After buying the notebooks, George had less than $12 left, so we can set up the inequality:
36 - 4x < 12
To solve this inequality, we subtract 36 from both sides:
-4x < 12 - 36
-4x < -24
Dividing both sides by -4 (and remembering to reverse the inequality since we are dividing by a negative number):
x > -24/-4
x > 6
Therefore, George spent more than $6 on each notebook.
The solution set for x is x > 6.