Question

A CLOSER LOOK AT Compound Inequalities We previously learned that compound inequalities are two inequalities joined by the word "or" or "and". Sometimes you really need to think about what the inequalities are saying before you determine the solution. Example at the Zoo: A sign at the ticket booth reads "Guests that are under 3 years old and over 62 years old get free admission!" Does this make sense? If not, why? How would you change it? Explain.

Answer 1

Compound inequality involves the combination of multiple inequalities. The sign at the ticket booth does not make sense. It should be written as:

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

The given statement can be split to two:

• Condition 1: Guests that are under 3 years old.
• Condition 2: Guests that are over 62 years old

When the "and" clause is used in an inequality, it means that both conditions must be true.

But; conditions 1 and 2 are disjoint; i.e. they cannot happen at the same time.

In other words, you cannot be under 3 years old, and be over 62 years old at the same time.

So, we can conclude that this statement does not make sense.

The correction will be to replace the "and" clause with an "or" clause.

So, the new text will be:

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

Read more about compound inequalities at:

brainly.com/question/13290962