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Director

Joined: **16 May 2014 **

Posts: **591**

Given Kudos: **0 **

If y - 3x > 12 and x - y > 38
[#permalink]
02 Sep 2014, 03:17

Expert Reply

10

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Question Stats:

If \(y - 3x > 12\) and \(x - y > 38\), which of the following are possible values of x?

Indicate all such values.

A)-60

B)-30

C)-6

D)4

E)20

F)40

G)80

Indicate all such values.

A)-60

B)-30

C)-6

D)4

E)20

F)40

G)80

Director

Joined: **16 May 2014 **

Posts: **591**

Given Kudos: **0 **

Re: If y - 3x > 12 and x - y > 38
[#permalink]
05 Nov 2014, 00:27

4

Expert Reply

1

Bookmarks

\(y-3x > 12\)

\(x-y > 38\)

Adding them together , the term y cancels out leaving the following equation

\(-2x > 50\)

Now it is just a matter of plugging in the options. So only \(x= -30, -60\) are the plausible choices.

\(x-y > 38\)

Adding them together , the term y cancels out leaving the following equation

\(-2x > 50\)

Now it is just a matter of plugging in the options. So only \(x= -30, -60\) are the plausible choices.

Re: If y - 3x > 12 and x - y > 38
[#permalink]
01 Nov 2014, 10:59

1

How to solve this ?

Care to elaborate ple

Care to elaborate ple

If y − 3x > 12 and x − y > 38, which of the following are po
[#permalink]
20 Nov 2017, 11:21

1

2

Bookmarks

If y − 3x > 12 and x − y > 38, which of the following are possible values of x?

A. −60

B. −30

C. −6

D. 4

E. 20

F. 40

G. 80

Kudos for correct solution.

A. −60

B. −30

C. −6

D. 4

E. 20

F. 40

G. 80

Show: :: OA

A and B

Kudos for correct solution.

Re: If y − 3x > 12 and x − y > 38, which of the following are po
[#permalink]
22 Dec 2017, 22:13

1

y-3x>12---1

-y+x?38---2

add 1&2

-2x>50

divied both sides by -2

-ive 2 soo flip sign x<50/-2

x<-25

Ans:A&B

-y+x?38---2

add 1&2

-2x>50

divied both sides by -2

-ive 2 soo flip sign x<50/-2

x<-25

Ans:A&B

Retired Moderator

Joined: **10 Apr 2015 **

Posts: **6218**

Given Kudos: **136 **

If y − 3x > 12 and x − y > 38, which of the following are po
[#permalink]
09 Jan 2018, 12:51

1

Bunuel wrote:

If y − 3x > 12 and x − y > 38, which of the following are possible values of x?

A. −60

B. −30

C. −6

D. 4

E. 20

F. 40

G. 80

A. −60

B. −30

C. −6

D. 4

E. 20

F. 40

G. 80

Given:

y − 3x > 12

−y + x > 38 [aside: I rearranged the x and y so that they're in the same format as the equation above]

IMPORTANT: Since the inequality symbols are facing the SAME DIRECTION, we can ADD the two inequalities.

We get: -2x > 50

Divide both sides by -2 to get: x < -25 [aside: since we divided by a NEGATIVE value, we REVERSE the inequality symbol]

So, x can be ANY value that's less than -25

Answer: A and B

RELATED VIDEO FROM OUR COURSE

Re: If y - 3x > 12 and x - y > 38
[#permalink]
03 Sep 2018, 17:12

2

y - 3x > 12 ==> y > 3x + 12

x - y > 38 ==> y< x - 38

so we get 3x + 12 < X - 38 ==> x < -25

so the answer is A, B

x - y > 38 ==> y< x - 38

so we get 3x + 12 < X - 38 ==> x < -25

so the answer is A, B

If y − 3x > 12 and x − y > 38, which of the following are po
[#permalink]
06 Nov 2018, 05:59

Expert Reply

If y − 3x > 12 and x − y > 38, which of the following are possible values of x?

Indicate all such values.

A.− 60

B. − 30

C. − 6

D. 4

E. 20

F. 40

G. 80

Indicate all such values.

A.− 60

B. − 30

C. − 6

D. 4

E. 20

F. 40

G. 80

Retired Moderator

Joined: **10 Apr 2015 **

Posts: **6218**

Given Kudos: **136 **

If y − 3x > 12 and x − y > 38, which of the following are po
[#permalink]
12 Nov 2018, 09:28

2

Carcass wrote:

If y − 3x > 12 and x − y > 38, which of the following are possible values of x?

Indicate all such values.

A.− 60

B. − 30

C. − 6

D. 4

E. 20

F. 40

G. 80

Indicate all such values.

A.− 60

B. − 30

C. − 6

D. 4

E. 20

F. 40

G. 80

GIVEN:

y − 3x > 12

x − y > 38

To make things easier to see, let's rewrite the bottom equation as follows:

y − 3x > 12

-y + x > 38

Since both inequality symbols are facing the SAME DIRECTION, we can ADD the two inequalities (for more on this, see the top video below).

We get: -2x > 50

Now divide both sides by -2 to get: x < -25 [since we divided by a NEGATIVE value, we had to REVERSE the inequality symbol. For more on this, see the second video below]

If x < -25, then the possible values of x are: -60 (A) and -30 (B)

Answer: A, B

RELATED VIDEO

Re: If y − 3x > 12 and x − y > 38, which of the following are po
[#permalink]
16 Nov 2018, 13:37

1

Answer: A and B

y - 3x > 12

x - y > 38

We have two expressions with two unknown variables (x and y), in order to find out them we should get rid of one of them buy multiplication, etc,

Here as we have y in one and -y in one we don’t need any other function

- 3x + y > 12

x - y > 38

Sum up these two expressions :

-3x + x + y - y > 12 + 38

-2x > 50 divide by 2:

-x > 25 multiply by -1:

x < -25 (the comparing sign will be changed because of negative multiplication we applied.

So we have x < -25

A and B can be answers to this question.

y - 3x > 12

x - y > 38

We have two expressions with two unknown variables (x and y), in order to find out them we should get rid of one of them buy multiplication, etc,

Here as we have y in one and -y in one we don’t need any other function

- 3x + y > 12

x - y > 38

Sum up these two expressions :

-3x + x + y - y > 12 + 38

-2x > 50 divide by 2:

-x > 25 multiply by -1:

x < -25 (the comparing sign will be changed because of negative multiplication we applied.

So we have x < -25

A and B can be answers to this question.

Retired Moderator

Joined: **10 Apr 2015 **

Posts: **6218**

Given Kudos: **136 **

Re: If y - 3x > 12 and x - y > 38
[#permalink]
20 Jan 2019, 09:48

3

soumya1989 wrote:

If \(y - 3x > 12\) and \(x - y > 38\), which of the following are possible values of x?

Indicate all such values.

A)-60

B)-30

C)-6

D)4

E)20

F)30

Indicate all such values.

A)-60

B)-30

C)-6

D)4

E)20

F)30

GIVEN:

y - 3x > 12

x - y > 38

To make things easier to follow, let's rewrite the bottom inequality as follows:

y - 3x > 12

-y + x > 38

Since the two inequality symbols are facing the SAME direction, we can ADD the inequalities.

When we do so, we get: -2x > 50

Divide both sides by -2 to get: x < -25 [when we divide both sides of an inequality by a NEGATIVE number, we must REVERSE the direction of the inequality symbol]

So, any value of x that is LESS THAN -25 will be correct.

Answer: A and B

Re: If y - 3x > 12 and x - y > 38
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14 Dec 2019, 09:26

Expert Reply

Up for further discussion

Re: If y − 3x > 12 and x − y > 38, which of the following are po
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01 Jul 2020, 22:18

Nice I got this one correct.

* If we have 2 inequalities sharing same variables and same sign of inequality, we can safely add them to find the relation between them.

Thanks guys very useful web.

* If we have 2 inequalities sharing same variables and same sign of inequality, we can safely add them to find the relation between them.

Thanks guys very useful web.

Re: If y - 3x > 12 and x - y > 38
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03 Apr 2024, 11:33

Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.

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