Hello, Raj!
1. Solve algebraically
The graph of is an upopening parabola.
. . We want to know when the graph is above the xaxis.
The function is positive to the left and the right of its xintercepts.
xintercepts: . Code:

*  *

o+o
*  *
*  *
* 

Answer: .
We have the cubic function: .
. . We want know when this cubic is below the xaxis.
It factors: . Code:

*  *
* *
o+oo

*  * *
 *

Answer: .
Your answers are correct!
We have: .
. .
Multiply by the LCD,
. .
Therefore: .
You were right!