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05 Sep 2019, 04:32
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A
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93% (01:08) correct
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If (1 < A < 3 < B), then which of the following expressions is the largest?
A. (B+2)/(A-1).
B. (B-2)/(A+1).
C. A/B.
D. (B-2)/(A-1).
E. B/A.
A. (B+2)/(A-1).
B. (B-2)/(A+1).
C. A/B.
D. (B-2)/(A-1).
E. B/A.
05 Sep 2019, 10:01
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solution:
replace A and B with numbers that satisfy the equation: A=2 and B=4
replace the values of A and B in the answer choices:
A) 6/1
B) 4/3
C) 4/2
D) 4/1
E) 4/1
the largest expression is A.
replace A and B with numbers that satisfy the equation: A=2 and B=4
replace the values of A and B in the answer choices:
A) 6/1
B) 4/3
C) 4/2
D) 4/1
E) 4/1
the largest expression is A.
chrtpmdr
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Joined: 24 Jul 2019
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06 Sep 2019, 08:31
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My approach, a bit with intuition:
a) sounds good let's say B = 6 and A = 2 this would mean A) leads to 8
b) can't be better if I subtract 2 from the numerator and add 1 to the denominator, I don't even check this
c) A/B can't also be the largest because A is less then B and therefore this would lead to a fraction below 1 (2 / 6 with our numbers)
d) 4 / 1 = 4 not greater then a)
e) 6 / 2 = 3 not greater then a)
would be my humble opinion, correct me if wrong.
a) sounds good let's say B = 6 and A = 2 this would mean A) leads to 8
b) can't be better if I subtract 2 from the numerator and add 1 to the denominator, I don't even check this
c) A/B can't also be the largest because A is less then B and therefore this would lead to a fraction below 1 (2 / 6 with our numbers)
d) 4 / 1 = 4 not greater then a)
e) 6 / 2 = 3 not greater then a)
would be my humble opinion, correct me if wrong.
