SOLUTION: Can you help me solve this inequality? This is the question: Option 1: C=_3x+32___________ ____ Option 2: C=__6.50x___________ ___ How many hours would you have to rent the co

Algebra ->  Inequalities -> SOLUTION: Can you help me solve this inequality? This is the question: Option 1: C=_3x+32___________ ____ Option 2: C=__6.50x___________ ___ How many hours would you have to rent the co      Log On


   



Question 188295: Can you help me solve this inequality? This is the question:
Option 1: C=_3x+32________________
Option 2: C=__6.50x_______________
How many hours would you have to rent the court so that the monthly cost of option 1, is less than option 2. Set up an inequality and show your work algebraically using the information in part a. Round to 3 decimal places if necessary.

This is what I have gotten so far:
32+3x<6.50x
-3x -3x
= 32<3.50x
32/3.50x<3.50x/3.50x

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Can you help me solve this inequality? This is the question:
Option 1: C=_3x+32________________
Option 2: C=__6.50x_______________
How many hours would you have to rent the court so that the monthly cost of option 1, is less than option 2. Set up an inequality and show your work algebraically using the information in part a. Round to 3 decimal places if necessary.
This is what I have gotten so far:
32+3x<6.50x
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Comment: Try to keep the coefficient of the variable positive so
you don't have to flip the inequality.
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Subtract 3x from both sides to get:
32 < 3.5x
---
Divide both sides by 3.5 to get:
x > 32/3.5
x > 9.143 hours.
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Cheers,
Stan H.