Solve the inequality. Write the solution set in interval notation.
-$$d ^ { 2 } 9 d$$
A) $( 0,9 )$
B) $( - \infty , 0 ) \cup ( 9 , \infty )$
C) $( 9 , \infty )$
D) $( - \infty , 9 ]$

Question

Solve the inequality. Write the solution set in interval notation.
-$$d ^ { 2 } > 9 d$$
A) $( 0,9 )$
B) $( - \infty , 0 ) \cup ( 9 , \infty )$
C) $( 9 , \infty )$
D) $( - \infty , 9 ]$

Quizplus · Accepted Answer

First, rearrange the inequality to $d^2 - 9d > 0$. Factoring gives $d(d - 9) > 0$. The critical points are $d = 0$ and $d = 9$. Testing intervals around these points shows that the inequality is satisfied for $d < 0$ and $d > 9$, leading to the solution $( - \infty , 0 ) \cup ( 9 , \infty )$.

Solve the Inequality d2>9dd ^ { 2 } > 9 dd2>9d

Solve the Inequality $d ^ { 2 } > 9 d$