Solve x^(3)-x-9<0

Evaluate

x^{3} - x - 9 < 0

Rewrite the expression

x^{3} - x - 9 = 0

Find the critical values by solving the corresponding equation

x \approx 2.240041

Determine the test intervals using the critical values

x < 2.240041 x > 2.240041

Choose a value form each interval

x_{1} = 1 x_{2} = 3

To determine if x < 2.240041 is the solution to the inequality,test if the chosen value x = 1 satisfies the initial inequality

More Steps

x < 2.240041 is the solution x_{2} = 3

To determine if x > 2.240041 is the solution to the inequality,test if the chosen value x = 3 satisfies the initial inequality

More Steps

x < 2.240041 is the solution x > 2.240041 is not a solution

Solution

x < 2.240041

Alternative Form

x \in (- \infty, 2.240041)

Solve the inequality