Video: Writing an Inequality to Represent a Constraint or Condition in a Real-World Problem

Write an inequality which describes the following sentence: David drives more than 7400 miles per year.

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Video Transcript

Write an inequality which describes the following sentence: David drives more than 7400 miles per year.

When dealing with single inequalities, we have four possibilities as shown. Firstly, we have the scenario where 𝑥 is greater than 𝑎. The second inequality states that 𝑥 is less than 𝑎. The third and fourth scenarios include the situation where 𝑥 equals 𝑎. The third one states that 𝑥 is greater than or equal to 𝑎. Finally, the fourth inequality is 𝑥 is less than or equal to 𝑎.

In this question, we are told that David drives more than 7400 miles. This means that the distance must be greater than this number. The correct inequality is 𝑥 is greater than 7400.

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