My Math Forum Write a System of Inequalities for this Problem..?

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 January 12th, 2017, 10:39 PM #1 Senior Member   Joined: Jan 2017 From: US Posts: 104 Thanks: 5 Write a System of Inequalities for this Problem..? A music store is selling CDs for either $10 or$15. A customer wants to spend between $30 and$60 on the CDs. Write the system of inequalities that represents this situation and graph its solution region. Could anyone point me in the right direction with this? I really have no clue where to start. Any help would be appreciated! Thanks in advance!
 January 13th, 2017, 12:15 AM #2 Senior Member     Joined: Sep 2015 From: USA Posts: 1,755 Thanks: 900 the customer buys $m$ cds at $10$ and $n$ cds at $15$ they thus spend a total of $10m + 15n$ write the two inequalities that compare this to the amount the customer wants to spend. Thanks from Indigo28
January 13th, 2017, 12:34 AM   #3
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Quote:
 Originally Posted by romsek the customer buys $m$ cds at $10$ and $n$ cds at $15$ they thus spend a total of $10m + 15n$ write the two inequalities that compare this to the amount the customer wants to spend.
So, would they be:

10m+15n≥30
10m+15n≤60

?

January 13th, 2017, 12:36 AM   #4
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Quote:
 Originally Posted by Indigo28 So, would they be: 10m+15n≥30 10m+15n≤60 ?
yessir

January 13th, 2017, 12:38 AM   #5
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Quote:
 Originally Posted by romsek yessir
Thanks!

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