Answer: Let's define the variable "s" as the amount of money Nigel can spend on snacks.
To write an inequality to represent this situation, we can start by finding the cost of the matinee 3D movie ticket, which is $7.50.
The total amount of money Nigel has to spend is $20, so he can spend the remaining amount on snacks. Therefore, the amount he can spend on snacks, "s", can be represented by:
s ≤ $20 - $7.50 = $12.50
This means that Nigel can spend up to $12.50 on snacks and still be able to afford the matinee 3D movie ticket.
To solve the inequality, we simply need to isolate the variable "s" by subtracting $12.50 from both sides of the inequality:
s - $12.50 ≤ 0
s ≤ $12.50
The solution to the inequality is that Nigel can spend up to $12.50 on snacks.
Interpreting the solution, we can see that as long as Nigel spends $12.50 or less on snacks, he will have enough money to buy the matinee 3D movie ticket. If he spends more than $12.50 on snacks, he will not have enough money to buy the ticket.
Explanation: