Solve h* h^2 > - 2

Evaluate

h \times h^{2} > - 2

Multiply the terms

More Steps

h^{3} > - 2

Move the expression to the left side

h^{3} - (- 2) > 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

h^{3} + 2 > 0

Rewrite the expression

h^{3} + 2 = 0

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

h^{3} = 0 - 2

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

h^{3} = - 2

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

3 h^{3} = 3 - 2

Calculate

h = 3 - 2

An odd root of a negative radicand is always a negative

h = - 32

Determine the test intervals using the critical values

h < - 32 h > - 32

Choose a value form each interval

h_{1} = - 2 h_{2} = 0

To determine if h < - 32 is the solution to the inequality,test if the chosen value h = - 2 satisfies the initial inequality

More Steps

h < - 32 is not a solution h_{2} = 0

To determine if h > - 32 is the solution to the inequality,test if the chosen value h = 0 satisfies the initial inequality

More Steps

h < - 32 is not a solution h > - 32 is the solution

Solution

h > - 32

Alternative Form

h \in (- 32, + \infty)

Solve the inequality