Solve x^2<1 - ScanMath

Evaluate

x^{2} < 1

Move the expression to the left side

x^{2} - 1 < 0

Rewrite the expression

x^{2} - 1 = 0

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

x^{2} = 0 + 1

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

x^{2} = 1

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

x = \pm 1

Simplify the expression

x = \pm 1

Separate the equation into 2 possible cases

x = 1 x = - 1

Determine the test intervals using the critical values

x < - 1 - 1 < x < 1 x > 1

Choose a value form each interval

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

To determine if x < - 1 is the solution to the inequality,test if the chosen value x = - 2 satisfies the initial inequality

More Steps

x < - 1 is not a solution x_{2} = 0 x_{3} = 2

To determine if - 1 < x < 1 is the solution to the inequality,test if the chosen value x = 0 satisfies the initial inequality

More Steps

x < - 1 is not a solution - 1 < x < 1 is the solution x_{3} = 2

To determine if x > 1 is the solution to the inequality,test if the chosen value x = 2 satisfies the initial inequality

More Steps

x < - 1 is not a solution - 1 < x < 1 is the solution x > 1 is not a solution

Solution

- 1 < x < 1

Alternative Form

x \in (- 1, 1)

Solve the inequality