Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
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
x∈(−∞,−1)∪(1,+∞)
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