Chapter 3.6, Problem 31E

To determine

To calculate:find the set of cards that we have to sell in order to make more than what we spend.

Answer to Problem 31E

the set of cards that we have to sell in order to make more than what we spend is $s\ge 2.00$ .

Explanation of Solution

Given information : consider, the information provided in the question

Card stock cost = $\$.50$

Table rent = $\$20$

Cost of selling card of set 12 = $\$10.20$ .

Calculation : let $s$ is the set of selling cards. To solve this inequality we have to add first 20 and .50 then divide the result by 10.20 .

  $10.20s\ge 20+.50$

  $\begin{array}{l}10.20s\ge 20.50\\ s\ge \frac{20.50}{10.20}\\ s\ge 2.00\end{array}$

Hence,

Thus, the set of cards that we have to sell in order to make more than what we spend is $s\ge 2.00$ .