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List the Critical Values of the Related Function xx2+3x4+2x2162xx25x+4\frac { x } { x ^ { 2 } + 3 x - 4 } + \frac { 2 } { x ^ { 2 } - 16 } \leq \frac { 2 x } { x ^ { 2 } - 5 x + 4 }

Question 27

Multiple Choice

List the critical values of the related function. Then solve the inequality.
- xx2+3x4+2x2162xx25x+4\frac { x } { x ^ { 2 } + 3 x - 4 } + \frac { 2 } { x ^ { 2 } - 16 } \leq \frac { 2 x } { x ^ { 2 } - 5 x + 4 }


A) 523,4,5+23,1,4;[523,4) [5+23,1) (4,) - 5 - \sqrt { 23 } , - 4 , - 5 + \sqrt { 23 } , 1,4 ; [ - 5 - \sqrt { 23 } , - 4 ) \cup [ - 5 + \sqrt { 23 } , 1 ) \cup ( 4 , \infty )
B) 423,5,4+23,1,5;[423,5) [4+23,1) (5,) - 4 - \sqrt { 23 } , - 5 , - 4 + \sqrt { 23 } , 1,5 ; [ - 4 - \sqrt { 23 } , - 5 ) \cup [ - 4 + \sqrt { 23 } , 1 ) \cup ( 5 , \infty )
C) No critical values; \varnothing
D) 533,4,5+33,1,4;[533,4) [5+33,1) (4,) - 5 - \sqrt { 33 } , - 4 , - 5 + \sqrt { 33 } , 1,4 ; [ - 5 - \sqrt { 33 } , - 4 ) \cup [ - 5 + \sqrt { 33 } , 1 ) \cup ( 4 , \infty )

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