Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

If 4<[(7-x)/3], which of the following must be true? I. 5<x II. |x+3|>2 III. -(x+5) is positive

A) II only B) III only C) I and II only D) II and III only E) I, II and III

I am not confused about statement II ????

Good question, +1.

Note that we are asked to determine which MUST be true, not could be true.

4<\frac{7-x}{3} --> 12<7-x --> x<-5. So we know that x<-5, it's given as a fact. Now, taking this info we should find out which of the following inequalities will be true OR which of the following inequalities will be true for the range x<-5.

Basically the question asks: if x<-5 which of the following is true?

I. 5<x --> not true as x<-5.

II. |x+3|>2, this inequality holds true for 2 cases, (for 2 ranges): 1. when x+3>2, so when x>-1 or 2. when -x-3>2, so when x<-5. We are given that second range is true (x<-5), so this inequality holds true.

Or another way: ANY x from the range x<-5 (-5.1, -6, -7, ...) will make |x+3|>2 true, so as x<-5, then |x+3|>2 is always true.

If 4<[(7-x)/3], which of the following must be true? I. 5<x II. |x+3|>2 III. -(x+5) is positive

A) II only B) III only C) I and II only D) II and III only E) I, II and III

I am not confused about statement II ????

Good question, +1.

Note that we are asked to determine which MUST be true, not could be true.

4<\frac{7-x}{3} --> 12<7-x --> x<-5. So we know that x<-5, it's given as a fact. Now, taking this info we should find out which of the following inequalities will be true OR which of the following inequalities will be true for the range x<-5.

Basically the question asks: if x<-5 which of the following is true?

I. 5<x --> not true as x<-5.

II. |x+3|>2, this inequality holds true for 2 cases, (for 2 ranges): 1. when x+3>2, so when x>-1 or 2. when -x-3>2, so when x<-5. We are given that second range is true (x<-5), so this inequality holds true.

Or another way: ANY x from the range x<-5 (-5.1, -6, -7, ...) will make |x+3|>2 true, so as x<-5, then |x+3|>2 is always true.

III. -(x+5)>0 --> x<-5 --> true.

Answer: D.

Hope it's clear.

here for the |x+3| >2 we have 2cases- x> -1 or x <-5 (while second one satisfies the condn as asked but is not it we should be looking at all the possibilities and if all satisfies then only we can say that this option also holds as for as GMAT is concerned ) so I am not clear about the explanation for II to be true. _________________

If 4<[(7-x)/3], which of the following must be true? I. 5<x II. |x+3|>2 III. -(x+5) is positive

A) II only B) III only C) I and II only D) II and III only E) I, II and III

I am not confused about statement II ????

Good question, +1.

Note that we are asked to determine which MUST be true, not could be true.

4<\frac{7-x}{3} --> 12<7-x --> x<-5. So we know that x<-5, it's given as a fact. Now, taking this info we should find out which of the following inequalities will be true OR which of the following inequalities will be true for the range x<-5.

Basically the question asks: if x<-5 which of the following is true?

I. 5<x --> not true as x<-5.

II. |x+3|>2, this inequality holds true for 2 cases, (for 2 ranges): 1. when x+3>2, so when x>-1 or 2. when -x-3>2, so when x<-5. We are given that second range is true (x<-5), so this inequality holds true.

Or another way: ANY x from the range x<-5 (-5.1, -6, -7, ...) will make |x+3|>2 true, so as x<-5, then |x+3|>2 is always true.

III. -(x+5)>0 --> x<-5 --> true.

Answer: D.

Hope it's clear.

here for the |x+3| >2 we have 2cases- x> -1 or x <-5 (while second one satisfies the condn as asked but is not it we should be looking at all the possibilities and if all satisfies then only we can say that this option also holds as for as GMAT is concerned ) so I am not clear about the explanation for II to be true.

Is |x+3|>2 true? --> this inequality is true if x>-1 OR x<-5. Now, it's given that x<-5, so it must hold true.

Or: ANY x from the range x<-5 (-5.1, -6, -7, ...) will make |x+3|>2 true, so as x<-5, then |x+3|>2 is always true.

Re: If 4<(7-x)/3, which of the following must be true? [#permalink]
08 Jan 2014, 06:35

mn2010 wrote:

If 4<(7-x)/3, which of the following must be true?

I. 5<x II. |x+3|>2 III. -(x+5) is positive

A) II only B) III only C) I and II only D) II and III only E) I, II and III

I am confused about statement II ????

12 < 7-x => x < -5 I. 5 < x not possible. II. |x+3| > 2 . now x < -5 or lets say x = -5.1 so |x+3| = |-2.1| = 2.1 > 2 So any case, it will always be more than 2. Definitely. III. -(x+5) as x < -5 so x can be -5.1 so -(-.1) so +ve hence III is also possible.

I couldn’t help myself but stay impressed. young leader who can now basically speak Chinese and handle things alone (I’m Korean Canadian by the way, so...