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Question #3: What value x satisfies both 1/x < 1/7 and x 2 > 16?
(a) x = 1
(b) x = -5
(c) x = -1
(d) x = 7
(e) x = 6
Answer: x 2> 16 means (x - 4)· (x + 4) > 0.
x can be lower than -4 or higher than 4.
1/x < 1/7; (7-x) / 7x < 0.
x can be lower than 0 or higher than 7.
In conclusion, x can be lower than -4 or higher than 7. The only correct answer is x = -5.
Question #4: A lottery sells 1000 tickets and there is only one winning number. 200 New Jersey residents buy 2 tickets each, 300 New York
residents buy 1 ticket each and the rest are sold in Connecticut. What is the probability that the wining ticket was bought in New Jersey?
(a) 3/5
(b) 1/2
(c) 2/5
(d) 1/5
(e) 4/5
Answer: There are 400 tickets sold in New Jersey out of a total of 1000, so the probability will be 400/1000 = 2/5.
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