Solve 8>j^6 - ScanMath

Evaluate

8 > j^{6}

Move the expression to the left side

8 - j^{6} > 0

Rewrite the expression

8 - j^{6} = 0

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

- j^{6} = 0 - 8

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

- j^{6} = - 8

Change the signs on both sides of the equation

j^{6} = 8

Take the root of both sides of the equation and remember to use both positive and negative roots

j = \pm 68

Simplify the expression

More Steps

j = \pm 2

Separate the equation into 2 possible cases

j = 2 j = - 2

Determine the test intervals using the critical values

j < - 2 - 2 < j < 2 j > 2

Choose a value form each interval

j_{1} = - 2 j_{2} = 0 j_{3} = 2

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

More Steps

j < - 2 is not a solution j_{2} = 0 j_{3} = 2

To determine if - 2 < j < 2 is the solution to the inequality,test if the chosen value j = 0 satisfies the initial inequality

More Steps

j < - 2 is not a solution - 2 < j < 2 is the solution j_{3} = 2

To determine if j > 2 is the solution to the inequality,test if the chosen value j = 2 satisfies the initial inequality

More Steps

j < - 2 is not a solution - 2 < j < 2 is the solution j > 2 is not a solution

Solution

- 2 < j < 2

Alternative Form

j \in (- 2, 2)

Solve the inequality