Question
Solve the inequality
−1<x<1
Alternative Form
x∈(−1,1)
Evaluate
x3<1
Separate the inequality into 2 possible cases
{x3<1x3>−1
Solve the inequality for x
More Steps

Evaluate
x3<1
Take the 3-th root on both sides of the equation
3x3<31
Calculate
x<31
Simplify the root
x<1
{x<1x3>−1
Solve the inequality for x
More Steps

Evaluate
x3>−1
Take the 3-th root on both sides of the equation
3x3>3−1
Calculate
x>3−1
Simplify the root
More Steps

Evaluate
3−1
An odd root of a negative radicand is always a negative
−31
Simplify the radical expression
−1
x>−1
{x<1x>−1
Solution
−1<x<1
Alternative Form
x∈(−1,1)
Show Solution
