Solve -8(x^5)<80 - ScanMath

Evaluate

- 8 x^{5} < 80

Move the expression to the left side

- 8 x^{5} - 80 < 0

Rewrite the expression

- 8 x^{5} - 80 = 0

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

- 8 x^{5} = 0 + 80

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

- 8 x^{5} = 80

Change the signs on both sides of the equation

8 x^{5} = - 80

Divide both sides

\frac{8 x ^{5}}{8} = \frac{- 80}{8}

Divide the numbers

x^{5} = \frac{- 80}{8}

Divide the numbers

More Steps

x^{5} = - 10

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

5 x^{5} = 5 - 10

Calculate

x = 5 - 10

An odd root of a negative radicand is always a negative

x = - 510

Determine the test intervals using the critical values

x < - 510 x > - 510

Choose a value form each interval

x_{1} = - 3 x_{2} = - 1

To determine if x < - 510 is the solution to the inequality,test if the chosen value x = - 3 satisfies the initial inequality

More Steps

x < - 510 is not a solution x_{2} = - 1

To determine if x > - 510 is the solution to the inequality,test if the chosen value x = - 1 satisfies the initial inequality

More Steps

x < - 510 is not a solution x > - 510 is the solution

Solution

x > - 510

Alternative Form

x \in (- 510, + \infty)

Solve the inequality