Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
−34<x<34
Alternative Form
x∈(−34,34)
Evaluate
2x3<8
Rewrite the expression
2x3<8
Divide both sides
22x3<28
Divide the numbers
x3<28
Divide the numbers
More Steps
Evaluate
28
Reduce the numbers
14
Calculate
4
x3<4
Separate the inequality into 2 possible cases
{x3<4x3>−4
Solve the inequality for x
More Steps
Evaluate
x3<4
Take the 3-th root on both sides of the equation
3x3<34
Calculate
x<34
{x<34x3>−4
Solve the inequality for x
More Steps
Evaluate
x3>−4
Take the 3-th root on both sides of the equation
3x3>3−4
Calculate
x>3−4
An odd root of a negative radicand is always a negative
x>−34
{x<34x>−34
Solution
−34<x<34
Alternative Form
x∈(−34,34)
Show Solution
