Write a system of inequalities that describes the possible solutions to the problem.Bruce is a retired carpenter who builds patio chairs and dog houses, which he sells at his local flea market. It takes him 6 hours to build a dog house and 5 hours to build a patio chair. Bruce can work no more than 30 hours per week, and he must produce more chairs than dog houses. Write a system of inequalities to describe this situation. Use D for the number of dog houses and P for the number of patio chairs produced in a week.
A. P > D
5P + 6D ? 30
P > 0
D > 0
B. P ? D
5P + 6D < 30
P > 0
D > 0
C. P + D > 0
P + D ? 30
P > 0
D > 0
D. 5P > 6D
P + D ? 30
P > 0
D > 0
Answer: A
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