Question
Solve the inequality
x∈(−∞,−2320)∪(2320,+∞)
Evaluate
2x3>5
Rewrite the expression
2x3>5
Divide both sides
22x3>25
Divide the numbers
x3>25
Separate the inequality into 2 possible cases
x3>25x3<−25
Solve the inequality for x
More Steps

Evaluate
x3>25
Take the 3-th root on both sides of the equation
3x3>325
Calculate
x>325
Simplify the root
More Steps

Evaluate
325
To take a root of a fraction,take the root of the numerator and denominator separately
3235
Multiply by the Conjugate
32×32235×322
Simplify
32×32235×34
Multiply the numbers
32×322320
Multiply the numbers
2320
x>2320
x>2320x3<−25
Solve the inequality for x
More Steps

Evaluate
x3<−25
Take the 3-th root on both sides of the equation
3x3<3−25
Calculate
x<3−25
Simplify the root
More Steps

Evaluate
3−25
An odd root of a negative radicand is always a negative
−325
To take a root of a fraction,take the root of the numerator and denominator separately
−3235
Multiply by the Conjugate
32×322−35×322
Simplify
32×322−35×34
Multiply the numbers
32×322−320
Multiply the numbers
2−320
Calculate
−2320
x<−2320
x>2320x<−2320
Solution
x∈(−∞,−2320)∪(2320,+∞)
Show Solution
