Big Ideas Math: Modeling Real Life, Grade 7
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Exercise 7 Page 176

The phrase less than or equal to divides the sentence into what should be on the left-hand side and what should be on the right-hand side of the inequality.

k+19.5≤ 40

We are given a verbal expression and we want to write an inequality that it represents. A numberk plus 19.5 is less than or equal to40 Every inequality has an inequality symbol and values or expressions on either side of this symbol. In this exercise, we have the phrase less than or equal, so we can identify that the inequality symbol should be ≤.

A numberk plus 19.5 ≤ 40 On the left-hand side, we have one key phrase: plus. These words tell us the operations that will be used in our inequality. Plus indicates addition. A numberk plus 19.5 k + 19.5 On the right-hand side, we have a constant. Putting these sides together, we have a complete inequality. A numberk plus 19.5 is less than or equal to 40 ⇕ k + 19.5 ≤ 40