Your community center is selling boxes of cards. Your goal is to sell at least $500 worth of cards. Each box sells for $5 but you also need to pay the company $50 to ship all of the cards to your house to begin selling. Determine the least number of boxes of cards you must sell in order to meet your goal.
In this concept, you will learn to solve inequalities involving combining like terms.
However, two or more steps may be required to solve some inequalities. Inequalities that need more than one inverse operation to solve them can be called multi-step inequalities.
Let’s start by looking at combining like terms when you solve an inequality.
First, you can see that you have two terms that have the same variable. These are like terms. To solve an inequality with like terms, you will need to combine the like terms and then you can solve the inequality.
Here you divide both sides of the inequality by 7. Multiplication is the inverse operation of division.
Let’s look at another example.
Earlier, you were given a problem about boxes of cards being sold.
You need to sell at least 110 boxes of cards.
Solve each inequality.
To see the Review answers, open this PDF file and look for section 3.16.