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

question 27

Multiple Choice

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

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

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