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

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VP
Joined: 14 May 2006
Posts: 1399

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If z - 4z > 5 then which of the following is always true [#permalink]

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14 Jul 2006, 15:15
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If zÂ² - 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

Kudos [?]: 222 [0], given: 0

Senior Manager
Joined: 07 Jul 2005
Posts: 401

Kudos [?]: 14 [0], given: 0

Location: Sunnyvale, CA

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14 Jul 2006, 19:17
u2lover wrote:
If zÂ² - 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

(E) it is.
Its easy to see that inequality is false for z = 0, only (E) satisfies non-zero values of z..

Kudos [?]: 14 [0], given: 0

CEO
Joined: 20 Nov 2005
Posts: 2892

Kudos [?]: 323 [0], given: 0

Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008

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22 Jul 2006, 13:19
E.

Z > 5 can also be the answer but its not in the choices.

C could have been the answer but when z = 0 then the equality doesn't hold true.
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

Kudos [?]: 323 [0], given: 0

22 Jul 2006, 13:19
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