If x > 4 and 3x - 2y = 0, then which of the following must be true? - The Beat The GMAT Forum

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

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BTGModeratorVI: Legendary Member; Posts: 1223; Joined: Sat Feb 15, 2020 2:23 pmFollowed by: 1 member

by BTGModeratorVI » Thu Jun 11, 2020 8:31 am

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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

Answer: E
Source: Kaplan

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Source: Beat The GMAT — Problem Solving | Thu Jun 11, 2020 8:31 am

RaghavKhanna: Junior | Next Rank: 30 Posts; Posts: 11; Joined: Sun Jun 07, 2020 2:35 am

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

by RaghavKhanna » Thu Jun 11, 2020 8:50 pm

3 x - 2y = 0; x>4

=> x = 2/3 (y)

=> (2/3) y > 4
=> y > 6

Answer: E

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

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

by Brent@GMATPrepNow » Fri Jun 12, 2020 6:13 am

BTGModeratorVI wrote: ↑
Thu Jun 11, 2020 8:31 am
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

Answer: E
Source: Kaplan

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

Brent Hanneson - Creator of GMATPrepNow.com

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8154; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

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

by Scott@TargetTestPrep » Wed Jun 17, 2020 3:21 am

BTGModeratorVI wrote: ↑
Thu Jun 11, 2020 8:31 am
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

Answer: E

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

Scott Woodbury-Stewart
Founder and CEO
[email protected]

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

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