2x - 3b = 0oquiella wrote:If b<2 and 2x-3b=0, which of the following must be true?
A. X> -3
B. X< 2
C. X= 3
D. X< 3
E. X> 3
2x = 3b
b = (2/3)x.
Substituting b = (2/3)x into b<2, we get:
(2/3)x < 2
2x < 6
x < 3.
The correct answer is D.
Whats your approach to this type of question?
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2x = 3b
b = (2/3)x.
Substituting b = (2/3)x into b<2, we get:
(2/3)x < 2
2x < 6
x < 3.
The correct answer is D.
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As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
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Hi oquiella,
This question can be solved by TESTing VALUES, although you'll likely need more than one TEST to get to the solution.
We're told that B < 2 and 2X - 3B = 0. We're asked what MUST be true.
IF...
B = 0
2X - 3(0) = 0
2X = 0
X = 0
Eliminate C and E.
IF....
B = -10
2X - 3(-10) = 0
2X + 30 = 0
2X = -30
X = -15
Eliminate A.
Notice how similar Answers B and D are? On a fundamental level, any number that 'fits' Answer B ALSO fits Answer D (but D includes some solutions that are NOT in B). Since there can't be two correct answers, B cannot be correct. That having been said, here's how you can prove that D is the answer...
IF....
B = 1.99
2X - 3(1.99) = 0
2X - (about 6) = 0
2X = (about 6)
X = (about 3)
Eliminate B.
Final Answer: D
GMAT assassins aren't born, they're made,
Rich
This question can be solved by TESTing VALUES, although you'll likely need more than one TEST to get to the solution.
We're told that B < 2 and 2X - 3B = 0. We're asked what MUST be true.
IF...
B = 0
2X - 3(0) = 0
2X = 0
X = 0
Eliminate C and E.
IF....
B = -10
2X - 3(-10) = 0
2X + 30 = 0
2X = -30
X = -15
Eliminate A.
Notice how similar Answers B and D are? On a fundamental level, any number that 'fits' Answer B ALSO fits Answer D (but D includes some solutions that are NOT in B). Since there can't be two correct answers, B cannot be correct. That having been said, here's how you can prove that D is the answer...
IF....
B = 1.99
2X - 3(1.99) = 0
2X - (about 6) = 0
2X = (about 6)
X = (about 3)
Eliminate B.
Final Answer: D
GMAT assassins aren't born, they're made,
Rich
