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To qualify for Gold status at Awesome Airlines, one must fly less than 2280022800 but at least 96009600 miles each year. If Greg takes a 600600-mile round-trip flight when visiting his parents, how many times does Greg need to visit his parents each year to attain Gold status? Express your answer in interval notation.

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okiki5

Answer: n; 160 =< n < 3796

Explanation:

Number of miles needed to claim Gold d has the range

{d; 2280022800 > d >= 96009600}

Greg goes 600600miles in a year

dGreg = 600600mi

Lower limit for a Gold status is 96009600

Thus, we find the lower limit of number of trips

n = d/dGreg

(d here is the lower distance per year to be covered in order to attain Gold)

n(lower) = 96009600/600600

= 159.8561 ~ 160 trips

n(higher) = 2280022800/600600

= 3796.24 ~ 3796 trips

In interval notation

n; 160 =< n < 3796

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