Question

Write a compound inequality that represents the following scenario:

Answer 1

The compound inequality that represents the two following scenarios are:

1. 65 < f ≤ 4
2. 8 ≤ f ≤ 12

A compound inequality usually puts together two or more simple inequalities statements together.

Following the assumption from the given information that;

• a free single scoop cone = f

1.

The age group of individuals designated to receive the free single scoop cones is:

• people who are older than 65 i.e. > 65
• children that are 4 or under 4 i.e. ≤ 4

Thus, the compound inequality that is appropriate to express both conditions is:

• 65 < f ≤ 4

2.

• On Tuesdays, the least amount of flavors = 8
• The addition amount of extra flavors they can add = 4

Now, we can infer that the total amount of flavors = 8 + 4 = 12

Thus,  the compound inequality that is appropriate to express both conditions is:

• Least amount of flavors ≤ f ≤ total amount of flavors  
• 8 ≤ f ≤ 12

Therefore, we can conclude that the compound inequality that represents the two following scenarios are:

1. 65 < f ≤ 4
2. 8 ≤ f ≤ 12

Learn more about compound inequality here:

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