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Writing and Graphing One-Variable Inequalities

Exercise 1.12 - Solution

a
The number of single tickets is and we know that a single ticket costs Thus, we can express the cost of single tickets as

Now we can write an inequality to represent when this expression is less than the cost of a monthly pass, which costs This gives us

b
To determine which option is less expensive after rides, we can substitute into the inequality. If the it holds, the single ticket option is less expensive. If not, the monthly option is less expensive.
We can see that it will cost to buy single tickets. Thus, this is less expensive than buying the monthly pass.