Solve x (x^2) (x^4)<200

Evaluate

x \times x^{2} \times x^{4} < 200

Multiply

More Steps

x^{7} < 200

Move the expression to the left side

x^{7} - 200 < 0

Rewrite the expression

x^{7} - 200 = 0

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

x^{7} = 0 + 200

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

x^{7} = 200

Take the 7 -th root on both sides of the equation

7 x^{7} = 7200

Calculate

x = 7200

Determine the test intervals using the critical values

x < 7200 x > 7200

Choose a value form each interval

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

To determine if x < 7200 is the solution to the inequality,test if the chosen value x = 1 satisfies the initial inequality

More Steps

x < 7200 is the solution x_{2} = 3

To determine if x > 7200 is the solution to the inequality,test if the chosen value x = 3 satisfies the initial inequality

More Steps

x < 7200 is the solution x > 7200 is not a solution

Solution

x < 7200

Alternative Form

x \in (- \infty, 7200)

Solve the inequality