Question Video: Creating Linear Inequalities with One Variable

The number of cupcakes a cafe sells each day is 𝑐. To make a profit, the cafe must sell more than 100 cupcakes every day. Write an inequality that describes when the cafe starts to make a profit.

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Video Transcript

The number of cupcakes a cafe sells each day is 𝑐. To make a profit, the cafe must sell more than 100 cupcakes every day. Write an inequality that describes when the cafe starts to make a profit.

When dealing with single inequalities, we have four possible options. Firstly, we have 𝑥 is greater than 𝑎. Secondly, we have the situation where 𝑥 is less than 𝑎. The third and fourth options both contain the situation where 𝑥 is equal to 𝑎. The third one states that 𝑥 is greater than or equal to 𝑎 and the fourth one, 𝑥 is less than or equal to 𝑎.

In this question, we’re told that the number of cupcakes must be more than 100 in order for the cafe to make a profit. This can be written as an inequality 𝑐 is greater than 100.

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