<PRE><B>Question 1154861</B>
.
Dr. Don offers tutoring service for college students. He charges $40 as a fixed rate for the first hour plus $20 
for each additional hour. What is the minimum and maximum number of hours of tutoring a student can get if he or she 
can afford to spend between $140 and $200? ( express answer as an inequality)
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&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;The final answer in the post by @mananth is given in incorrect form.

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;I came to fix it.



f(h) = 40 + 20(h-1)   &lt;&lt;&lt;---===  first hour is presented by the addend &#39;40&#39;


140 &lt;= 40 + 20(h-1) &lt;= 200


Subtract 40 from all the terms


100 &lt;= 20(h-1) &lt;= 160


Divide by 20 all the terms


5 &lt;= h-1 &lt;= 8    


Hence,  6 &lt;= h &lt;= 9. &amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;&lt;&lt;---===  &amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;U&gt;ANSWER&lt;/U&gt;



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As the problem is worded, it admits different interpretations,
which is a bad style writing Math.


I solved here for one possible interpretation.



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