Houghton Mifflin Harcourt Algebra 1, 2015
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Houghton Mifflin Harcourt Algebra 1, 2015 View details
3. Modeling with Linear Systems
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Exercise 5 Page 451

Let's assume represents the number of packs of printer paper and represents the number packs of graph paper. Now, we will write an inequality for the number of packs and the cost of packs. Remember that the symbols for at least and at most are and respectively.

The Number of Packs The Cost of Packs
Verbal Expression Algebraic Expression Verbal Expression Algebraic Expression
Number of packs of printer paper Cost of packs of printer paper
Number of packs of graph paper Cost of packs of graph paper
Add the number of packs of printer and graph paper Add the costs of packs of printer and graph paper
Setup the inequality Setup the inequality
Thus, we can form our system of inequalities as the following.
Now, we will graph the system. Let's start with Inequality I.

Inequality I

In order to graph an inequality, we need a boundary line. The boundary line can be written by replacing the inequality symbol with an equals sign in the inequality as the following.