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Inequalities on a Number Line

Inequalities on a Number Line represent expressions that could be greater than, less than, or equal to a certain position on a continuum.

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Zoo Value

Credit: Cheryl DeWolfe
Source: http://www.flickr.com/photos/40923255@N00/4104531599/
License: CC BY-NC 3.0

Have you ever been to a movie theater, amusement park, or zoo? All these attractions charge admission prices that you can think about in terms of inequalities. If you have ever purchased tickets for your family, you've probably worked with inequalities without even knowing!

Why It Matters

Many family-friendly attractions charge different admission prices for children and adults. For example, at the San Diego Zoo, the price for a one-day adult pass for anyone 12 or older is $46.00. A ticket for a child under the age of 12 costs $36.00.

Credit: ConspiracyofHappiness
Source: http://www.flickr.com/photos/97964364@N00/52131092/
License: CC BY-NC 3.0

You can write a pair of inequalities to describe the conditions that determine whether a person is considered an "adult" or a "child" in the case of admission to the San Diego Zoo.

If \begin{align*}x\end{align*} represents a person's age in years, then:

Adult: \begin{align*}x \ge 12 \end{align*}

Child: \begin{align*}x < 12 \end{align*}

Inequalities can be used to describe everyday situations all the time!

Check out this video on the San Diego Zoo: http://www.youtube.com/watch?v=PEf8TeyPno8

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Learn more about the San Diego Zoo at its website below. See if you can find more situations that can be described using inequalities.


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Image Attributions

  1. [1]^ Credit: Cheryl DeWolfe; Source: http://www.flickr.com/photos/40923255@N00/4104531599/; License: CC BY-NC 3.0
  2. [2]^ Credit: ConspiracyofHappiness; Source: http://www.flickr.com/photos/97964364@N00/52131092/; License: CC BY-NC 3.0

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