Determine the value of x for which (x^2-1)>0. A. x 1 B. -1 0 D. x<-1

JAMB Mathematics 2009 Objective — Question 16

Question 16 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2009 Objective paper, with the correct answer and a full explanation.

Determine the value of x for which (x^2-1)>0. A. x<-1 or x>1 B. -1<x<1 C. x>0 D. x<-1

A. x<-1 or x>1Correct
B. -1<x<1
C. x>0
D. x<-1

Explanation

x^2-1>0 means (x+1)(x-1)>0, the difference of two squares. Testing the three regions on the number line: the solution is x<-1 or x>1.

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