Felicity’s dog eats no more than two cups of dog food per day. Felicity’s dog eats at least one-quarter cup more than one-half of the amount Martin’s dog eats. If the amount of food that Martin’s dog eats is represented by using m , which inequality represents the situation?
Answer
A
2 minus 1 fourth is greater than 1 half m
B
2 is greater than or equal to 1 half m plus 1 fourth
C
2 plus 1 fourth is greater than 1 half m
D
2 is less than or equal to 1 half m plus 1 fourth
Explanation
Let Felicity’s dog’s food amount be one-half of m plus one-quarter cup. “At least” means that amount is a lower bound, and “no more than two cups” means it is at most 2. So one-half m plus one-quarter is less than or equal to 2, which is equivalent to choice B: 2 is greater than or equal to one-half m plus one-quarter.
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