Convert to Interval Notation x^4>1

$x^{4} > 1$

Take the 4th root of both sides of the inequality to eliminate the exponent on the left side.

$x > \pm \sqrt[4]{1}$

The complete solution is the result of both the positive and negative portions of the solution.

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Any root of $1$ is $1$ .

$x > \pm 1$

The complete solution is the result of both the positive and negative portions of the solution.

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First, use the positive value of the $\pm$ to find the first solution.

$x > 1$

Next, use the negative value of the $\pm$ to find the second solution. Since this is an inequality, flip the direction of the inequality sign on the $-$ portion of the solution.

$x < - 1$

The complete solution is the result of both the positive and negative portions of the solution.

$x > 1$ or $x < - 1$

Convert the inequality to interval notation.

$(- \infty, - 1) \cup (1, \infty)$

Convert to Interval Notation x^4>1

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