Find the negation of the following statement: "There exists a negative real number z such that -3< f(z) <0." Select one: O a. For every negative real number z, we have f(z) <-3 or f(z)>0 O b. None of the other answers is the negation of this statement. O c. For every positive real number z, we have f(z)s-3 or f(z)>0 O d. For every negative real number z, we have -30

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.2: Solving Inequalities
Problem 62WE
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Find the negation of the following statement:
"There exists a negative real number z such that -3< f(2) <0."
Select one:
O a. For every negative real number z, we have f(z) <-3 or f(2)>0
O b. None of the other answers is the negation of this statement.
O c. For every positive real number z, we have f(z)<-3 or f(z) >0
O d. For every negative real number z, we have -3<f(Z) <0
O e. For every negative real number z, we have f(z)<-3 or f(z)>0
Check
Transcribed Image Text:Find the negation of the following statement: "There exists a negative real number z such that -3< f(2) <0." Select one: O a. For every negative real number z, we have f(z) <-3 or f(2)>0 O b. None of the other answers is the negation of this statement. O c. For every positive real number z, we have f(z)<-3 or f(z) >0 O d. For every negative real number z, we have -3<f(Z) <0 O e. For every negative real number z, we have f(z)<-3 or f(z)>0 Check
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