Solve n^4<2 - ScanMath

Evaluate

n^{4} < 2

Move the expression to the left side

n^{4} - 2 < 0

Rewrite the expression

n^{4} - 2 = 0

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

n^{4} = 0 + 2

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

n^{4} = 2

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

n = \pm 42

Separate the equation into 2 possible cases

n = 42 n = - 42

Determine the test intervals using the critical values

n < - 42 - 42 < n < 42 n > 42

Choose a value form each interval

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

To determine if n < - 42 is the solution to the inequality,test if the chosen value n = - 2 satisfies the initial inequality

More Steps

n < - 42 is not a solution n_{2} = 0 n_{3} = 2

To determine if - 42 < n < 42 is the solution to the inequality,test if the chosen value n = 0 satisfies the initial inequality

More Steps

n < - 42 is not a solution - 42 < n < 42 is the solution n_{3} = 2

To determine if n > 42 is the solution to the inequality,test if the chosen value n = 2 satisfies the initial inequality

More Steps

n < - 42 is not a solution - 42 < n < 42 is the solution n > 42 is not a solution

Solution

- 42 < n < 42

Alternative Form

n \in (- 42, 42)

Solve the inequality