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:

Either both z-5>0 and z+1>0 (positive times positive > 0) => z>5 and z>-1 => z>5 Or both z-5<0 and z+1<0 (negative times negative > 0) => z<5 and z<-1 => z<-1

If z^2 - 4z > 5 then which of the following is always true

A) z > -5

B) z < 5

C) z > -1

D) z < 1

E) z < -1

It's a REALLY BAD question. (z-5)*(z+1) > 0 -> either z > 5 or z < -1

There is a problem with logic. If z < -1 -> (z-5)*(z+1) > 0 but not the other way. for example, z = 6 satisfies (z-5)*(z+1) > 0. Does that mean that it satisfies z < -1 -> NO.

Inequalitys are usually one of my weak spots. Dealing with it algebraically that is.

My approach was to just use 0 for Z, which can be done for each except E.

Thus E it is.

And you would be correct if the question was right. But it is not. Answer is definitely not A, B, C or D, you are right with that. But nor is it E.

Answer is z>5 OR z<-1.

Hence z<-1 is not enough: it doesn't answer the question, since we cannot say "if z^2 - 4z > 5 then z is always less than -1" (try z=6 if you are not convinced).

So either this is not a GMAT question, or there is a mistake in it (in fact either way there is a mistake in it).

If z^2 - 4z > 5 then which of the following is always true

A) z > -5

B) z < 5

C) z > -1

D) z < 1

E) z < -1

z^2 - 4z -5>0 (z+1) (z-5) > 0

z-5>0 or z+1 <0 Soln: z> 5 or z<-1 Since we don't see z > 5, z<-1 is the solution. This is quadratic inequalities question, we can also solve it using graphs, the possible solution will be either z>5 or z<-1.

If z^2 - 4z > 5 then which of the following is always true

A) z > -5

B) z < 5

C) z > -1

D) z < 1

E) z < -1

It's a REALLY BAD question. (z-5)*(z+1) > 0 -> either z > 5 or z < -1

There is a problem with logic. If z < -1 -> (z-5)*(z+1) > 0 but not the other way. for example, z = 6 satisfies (z-5)*(z+1) > 0. Does that mean that it satisfies z < -1 -> NO.

You can't deal with inequalities the same way you deal with equalities (in which you set the equation equal to zero and solve for the parts that make one or the other equal to zero). This is because, the value of the variable affects the other component of the inequality. A graphical representation might help:

Attachments

inequality.gif [ 9.73 KiB | Viewed 645 times ]

_________________

Factorials were someone's attempt to make math look exciting!!!

brokerbevo, you are wrong. Try z = 6. It satisfies the first inequality z^2-4z > 5 but doesn't satisfy option E : z < -1.

Ahhh. I see what you are saying now. Yes, question is worded badly-- probably won't see this on GMAT. I spent all that time making that graph for nothing. _________________

Factorials were someone's attempt to make math look exciting!!!

It’s been a long time, since I posted. A busy schedule at office and the GMAT preparation, fully tied up with all my free hours. Anyways, now I’m back...

Ah yes. Funemployment. The time between when you quit your job and when you start your MBA. The promised land that many MBA applicants seek. The break that every...