Solve g^6>16 - ScanMath

Evaluate

g^{6} > 16

Move the expression to the left side

g^{6} - 16 > 0

Rewrite the expression

g^{6} - 16 = 0

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

g^{6} = 0 + 16

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

g^{6} = 16

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

g = \pm 616

Simplify the expression

g = \pm 34

Separate the equation into 2 possible cases

g = 34 g = - 34

Determine the test intervals using the critical values

g < - 34 - 34 < g < 34 g > 34

Choose a value form each interval

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

To determine if g < - 34 is the solution to the inequality,test if the chosen value g = - 3 satisfies the initial inequality

More Steps

g < - 34 is the solution g_{2} = 0 g_{3} = 3

To determine if - 34 < g < 34 is the solution to the inequality,test if the chosen value g = 0 satisfies the initial inequality

More Steps

g < - 34 is the solution - 34 < g < 34 is not a solution g_{3} = 3

To determine if g > 34 is the solution to the inequality,test if the chosen value g = 3 satisfies the initial inequality

More Steps

g < - 34 is the solution - 34 < g < 34 is not a solution g > 34 is the solution

Solution

g \in (- \infty, - 34) \cup (34, + \infty)

Solve the inequality