Solve 5y^3 > -7y 13

Evaluate

5 y^{3} > - 7 y \times 13

Multiply the terms

5 y^{3} > - 91 y

Move the expression to the left side

5 y^{3} - (- 91 y) > 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

5 y^{3} + 91 y > 0

Rewrite the expression

5 y^{3} + 91 y = 0

Factor the expression

y (5 y^{2} + 91) = 0

Separate the equation into 2 possible cases

y = 0 5 y^{2} + 91 = 0

Solve the equation

More Steps

y = 0 y \in / R

Find the union

y = 0

Determine the test intervals using the critical values

y < 0 y > 0

Choose a value form each interval

y_{1} = - 1 y_{2} = 1

To determine if y < 0 is the solution to the inequality,test if the chosen value y = - 1 satisfies the initial inequality

More Steps

y < 0 is not a solution y_{2} = 1

To determine if y > 0 is the solution to the inequality,test if the chosen value y = 1 satisfies the initial inequality

More Steps

y < 0 is not a solution y > 0 is the solution

Solution

y > 0

Alternative Form

y \in (0, + \infty)

Solve the inequality