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avatar+1612 

Which graph represents the solution set

 

 Jan 12, 2024
 #1
avatar+289 
+1

Answer= D

 Jan 12, 2024
 #2
avatar+128732 
+1

x^2 - 2  >  0         (1)

 

(x - sqrt 2)  ( x + sqrt 2)  >  0     make into an equality

 

(x -sqrt 2) ( x + sqrt 2)  = 0

 

x -sqrt 2 = 0                  x + sqrt 2  = 0

x =sqrt 2                        x = -sqrt 2

 

We have three possible solution intervals

 

(-inf, -sqrt 2)        x  = -2  is in this inerval  and it   makes (1)  true

(-sqrt 2 , sqrt 2)   x = 0   is in the  interval and it  makes (1) false

(sqrt 2, inf)          x = 2  is in this  interval and it makes (1) true

 

Answer

 

(-inf, sqrt 2)  U ( sqrt 2, inf)   =   "d"

 

 

cool cool cool

 Jan 12, 2024

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