Let be the number of audio books and
be the number of songs that Steve wants to spend on.
Steve wants no more than audio books on his MP3 player, but at least ten songs and one audio book.
Therefore, the inequality is and
.
Each book costs and each song costs
.
Steve has to spend on books and music.
Therefore, the inequality is .
Hence, the inequalities are ,
and
.
Graph:
\ Graph the system of inequalities are ,
and
.
Observe the graph:
\The region shaded in brown color is the required solution set.
\Graph of the inequalities are ,
and
is
.