Solve v^5<-1 - ScanMath

Evaluate

v^{5} < - 1

Move the expression to the left side

v^{5} - (- 1) < 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

v^{5} + 1 < 0

Rewrite the expression

v^{5} + 1 = 0

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

v^{5} = 0 - 1

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

v^{5} = - 1

Take the 5 -th root on both sides of the equation

5 v^{5} = 5 - 1

Calculate

v = 5 - 1

Simplify the root

More Steps

v = - 1

Determine the test intervals using the critical values

v < - 1 v > - 1

Choose a value form each interval

v_{1} = - 2 v_{2} = 0

To determine if v < - 1 is the solution to the inequality,test if the chosen value v = - 2 satisfies the initial inequality

More Steps

v < - 1 is the solution v_{2} = 0

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

More Steps

v < - 1 is the solution v > - 1 is not a solution

Solution

v < - 1

Alternative Form

v \in (- \infty, - 1)

Solve the inequality