Solve -2<b^5 - ScanMath

Evaluate

- 2 < b^{5}

Move the expression to the left side

- 2 - b^{5} < 0

Rewrite the expression

- 2 - b^{5} = 0

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

- b^{5} = 0 + 2

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

- b^{5} = 2

Change the signs on both sides of the equation

b^{5} = - 2

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

5 b^{5} = 5 - 2

Calculate

b = 5 - 2

An odd root of a negative radicand is always a negative

b = - 52

Determine the test intervals using the critical values

b < - 52 b > - 52

Choose a value form each interval

b_{1} = - 2 b_{2} = 0

To determine if b < - 52 is the solution to the inequality,test if the chosen value b = - 2 satisfies the initial inequality

More Steps

b < - 52 is not a solution b_{2} = 0

To determine if b > - 52 is the solution to the inequality,test if the chosen value b = 0 satisfies the initial inequality

More Steps

b < - 52 is not a solution b > - 52 is the solution

Solution

b > - 52

Alternative Form

b \in (- 52, + \infty)

Solve the inequality