If x 4 and 3x − 2y = 0, then which of the following must be true? ◦

Question

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

Kinshook · Answer

Asked: If x > 4 and 3x − 2y = 0, then which of the following must be true?

x = 2y/3 > 4
y > 4 * 3/2 = 6

IMO E

BrentGMATPrepNow · Answer

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

Cheers, 
Brent

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preetamsaha · Answer

If x > 4 and 3x − 2y = 0, then which of the following must be true? 
3x − 2y = 0
or, x= 2y/3
so, 2y/3 >4
or, y>6

correct answer E

TheNightKing · Answer

Let's say x is 4.

We get 12-2y=0. y=6

Now y has to be greater than 6 for the equation to be true.

Answer E

ScottTargetTestPrep · Answer

Solution:

Since 3x > 12 and 3x = 2y, we have:

2y > 12

y > 6

Alternate Solution:

We can let x = 5 and substitute this into the equation, obtaining:

3(5) - 2y = 0

15 = 2y

7.5 = y

Since 7.5 > 6, we can see that only choice E is the correct answer.

Answer: E

If x > 4 and 3x − 2y = 0, then which of the following must be true? ◦

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