Solve 2 < x^3 - ScanMath

Evaluate

2 < x^{3}

Move the expression to the left side

2 - x^{3} < 0

Rewrite the expression

2 - x^{3} = 0

Move the constant to the right-hand side and change its sign

- x^{3} = 0 - 2

Removing 0 doesn't change the value,so remove it from the expression

- x^{3} = - 2

Change the signs on both sides of the equation

x^{3} = 2

Take the 3 -th root on both sides of the equation

3 x^{3} = 32

Calculate

x = 32

Determine the test intervals using the critical values

x < 32 x > 32

Choose a value form each interval

x_{1} = 0 x_{2} = 2

To determine if x < 32 is the solution to the inequality,test if the chosen value x = 0 satisfies the initial inequality

More Steps

x < 32 is not a solution x_{2} = 2

To determine if x > 32 is the solution to the inequality,test if the chosen value x = 2 satisfies the initial inequality

More Steps

x < 32 is not a solution x > 32 is the solution

Solution

x > 32

Alternative Form

x \in (32, + \infty)

2 < x^3