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Solve the Inequality 16x3+48x2−25x−75>016 \mathrm { x } ^ { 3 } + 48 \mathrm { x } ^ { 2 } - 25 \mathrm { x } - 75 > 0

Question 75

Multiple Choice

Solve the inequality. Graph the solution set and write the solution set in interval notation.
- 16x3+48x2−25x−75>016 \mathrm { x } ^ { 3 } + 48 \mathrm { x } ^ { 2 } - 25 \mathrm { x } - 75 > 0
 Solve the inequality. Graph the solution set and write the solution set in interval notation. - 16 \mathrm { x } ^ { 3 } + 48 \mathrm { x } ^ { 2 } - 25 \mathrm { x } - 75 > 0    A)   ( - \infty , - 3 ] \cup \left[ - \frac { 5 } { 4 } , \frac { 5 } { 4 } \right]    B)   ( - \infty , - 3 )  \cup \left( - \frac { 5 } { 4 } , \frac { 5 } { 4 } \right)     C)   \left( - 3 , - \frac { 5 } { 4 } \right)  \cup \left( \frac { 5 } { 4 } , \infty \right)     D)   \left[ - 3 , - \frac { 5 } { 4 } \right] \cup \left[ \frac { 5 } { 4 } , \infty \right)


A) (−∞,−3]∪[−54,54]( - \infty , - 3 ] \cup \left[ - \frac { 5 } { 4 } , \frac { 5 } { 4 } \right]
 Solve the inequality. Graph the solution set and write the solution set in interval notation. - 16 \mathrm { x } ^ { 3 } + 48 \mathrm { x } ^ { 2 } - 25 \mathrm { x } - 75 > 0    A)   ( - \infty , - 3 ] \cup \left[ - \frac { 5 } { 4 } , \frac { 5 } { 4 } \right]    B)   ( - \infty , - 3 )  \cup \left( - \frac { 5 } { 4 } , \frac { 5 } { 4 } \right)     C)   \left( - 3 , - \frac { 5 } { 4 } \right)  \cup \left( \frac { 5 } { 4 } , \infty \right)     D)   \left[ - 3 , - \frac { 5 } { 4 } \right] \cup \left[ \frac { 5 } { 4 } , \infty \right)
B) (−∞,−3) ∪(−54,54) ( - \infty , - 3 ) \cup \left( - \frac { 5 } { 4 } , \frac { 5 } { 4 } \right)
 Solve the inequality. Graph the solution set and write the solution set in interval notation. - 16 \mathrm { x } ^ { 3 } + 48 \mathrm { x } ^ { 2 } - 25 \mathrm { x } - 75 > 0    A)   ( - \infty , - 3 ] \cup \left[ - \frac { 5 } { 4 } , \frac { 5 } { 4 } \right]    B)   ( - \infty , - 3 )  \cup \left( - \frac { 5 } { 4 } , \frac { 5 } { 4 } \right)     C)   \left( - 3 , - \frac { 5 } { 4 } \right)  \cup \left( \frac { 5 } { 4 } , \infty \right)     D)   \left[ - 3 , - \frac { 5 } { 4 } \right] \cup \left[ \frac { 5 } { 4 } , \infty \right)
C) (−3,−54) ∪(54,∞) \left( - 3 , - \frac { 5 } { 4 } \right) \cup \left( \frac { 5 } { 4 } , \infty \right)
 Solve the inequality. Graph the solution set and write the solution set in interval notation. - 16 \mathrm { x } ^ { 3 } + 48 \mathrm { x } ^ { 2 } - 25 \mathrm { x } - 75 > 0    A)   ( - \infty , - 3 ] \cup \left[ - \frac { 5 } { 4 } , \frac { 5 } { 4 } \right]    B)   ( - \infty , - 3 )  \cup \left( - \frac { 5 } { 4 } , \frac { 5 } { 4 } \right)     C)   \left( - 3 , - \frac { 5 } { 4 } \right)  \cup \left( \frac { 5 } { 4 } , \infty \right)     D)   \left[ - 3 , - \frac { 5 } { 4 } \right] \cup \left[ \frac { 5 } { 4 } , \infty \right)
D) [−3,−54]∪[54,∞) \left[ - 3 , - \frac { 5 } { 4 } \right] \cup \left[ \frac { 5 } { 4 } , \infty \right)
 Solve the inequality. Graph the solution set and write the solution set in interval notation. - 16 \mathrm { x } ^ { 3 } + 48 \mathrm { x } ^ { 2 } - 25 \mathrm { x } - 75 > 0    A)   ( - \infty , - 3 ] \cup \left[ - \frac { 5 } { 4 } , \frac { 5 } { 4 } \right]    B)   ( - \infty , - 3 )  \cup \left( - \frac { 5 } { 4 } , \frac { 5 } { 4 } \right)     C)   \left( - 3 , - \frac { 5 } { 4 } \right)  \cup \left( \frac { 5 } { 4 } , \infty \right)     D)   \left[ - 3 , - \frac { 5 } { 4 } \right] \cup \left[ \frac { 5 } { 4 } , \infty \right)

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