Chapter 5.6, Problem 34E

To determine

To write and graph the set of inequalities and interpret the two solutions of the inequality.

Answer to Problem 34E

  $\begin{array}{l}(120,50)\\ (165,100)\end{array}$

Explanation of Solution

Given:

A drama club must at least $\$1500$ worth of tickets to cover the expenses of producing a play.

Calculation:

Let the number of adults be $x$

And the number of students be $y$

Therefore the inequality from the given data is as follows-

  $10x+6y\ge 1500$

The table is −

  

The following is the graph of the inequality-

  

The two solution of the inequality are-

When number of adult tickets $x=120$ , number of student tickets are $y=50$

When number of adult tickets $x=165$ , number of student tickets are $y=100$