**Answer:**

The sign at the ticket booth should read "Guests that are under 3 years old **or **over 62 years old get free admission!"

**Step-by-step explanation:**

Compound inequalities are the combination of two inequalities by the words "or" or "and".

In the given example, the **compound inequality** is,

Guests that are under 3 years old and over 62 years old get free admission!

The given **inequality **can be broken into two individual inequalities as,

Inequality 1: Guests that are under 3 years old get free admission

Inequality 2: Guests that are over 62 years old get free admission

The above two inequalities are combined by "and" in the given compound inequality.

Now, "**and**" signifies that both the conditions or inequalities should be fulfilled at the same time. But a guest can either be under 3 years old or he/she should be older than 62. Both the conditions cannot be fulfilled at the same time and hence, the sign doesn't make any sense.

To correct the sign, "**and**" should be replaced with "**or**".

Therefore, the corrected sign at the ticked booth should read "Guests that are under 3 years old **or **over 62 years old get free admission!".

For more details, refer to the link:

brainly.com/question/20296065?referrer=searchResults