Question

get air trampoline park has a special deal where customers can get in for free as long as they are 3 or younger or at least 67 years old. write a compound inequality to model the situation.

Explanation:

Step1: Define variable

Let \( a \) represent the age of a customer.

Step2: Analyze "3 or younger"

"3 or younger" means the age is less than or equal to 3, so we can write this as \( a \leq 3 \).

Step3: Analyze "at least 67 years old"

"At least 67" means the age is greater than or equal to 67, so we can write this as \( a \geq 67 \).

Step4: Combine the inequalities

Since the customer can get in for free if they satisfy either of these conditions, we use the compound inequality with "or", so the compound inequality is \( a \leq 3 \) or \( a \geq 67 \).

Answer:

\( a \leq 3 \) or \( a \geq 67 \) (where \( a \) is the age of the customer)