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If x > 4 and 3x − 2y = 0, then which of the following must b

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If x > 4 and 3x − 2y = 0, then which of the following must b [#permalink] New post 06 Apr 2020, 05:44
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Question Stats:

87% (00:45) correct 12% (00:00) wrong based on 8 sessions
If x > 4 and 3x − 2y = 0, then which of the following must be true?

A. y < −6
B. y < −4
C. y = 6
D. y < 6
E. y > 6


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[Reveal] Spoiler: OA

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Re: If x > 4 and 3x − 2y = 0, then which of the following must b [#permalink] New post 06 Apr 2020, 05:47
Expert's post
Carcass wrote:
If x > 4 and 3x − 2y = 0, then which of the following must be true?

A. y < −6
B. y < −4
C. y = 6
D. y < 6
E. y > 6


Kudos for the right answer and explanation


Given: 3x − 2y = 0
Add 2y to both sides to get: 3x = 2y
Divide both sides by 3 to get: x = 2y/3

Given: x > 4
Substitute above value of x to get: 2y/3 > 4
Multiply both sides of the inequality by 3 to get: 2y > 12
Divide both sides of the inequality by 2 to get: y > 6

Answer: E

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Brent

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Re: If x > 4 and 3x − 2y = 0, then which of the following must b [#permalink] New post 29 Jun 2020, 20:29
3x-2y=0 and x>4.
Let x =5
15-2y=0
from here -2y must equal (-15)
y>6
Re: If x > 4 and 3x − 2y = 0, then which of the following must b   [#permalink] 29 Jun 2020, 20:29
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If x > 4 and 3x − 2y = 0, then which of the following must b

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