x2<0

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

x<±0

Simplify the right side of the equation.

Rewrite 0 as 02.

x<±02

Pull terms out from under the radical, assuming positive real numbers.

x<±0

x<±0

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

First, use the positive value of the ± to find the first solution.

x<0

Next, use the negative value of the ± to find the second solution. Since this is an inequality, flip the direction of the inequality sign on the – portion of the solution.

x>0

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

x<0 and x>0

This inequality has no solution.

No solution

No solution

No solution

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