Question
Solve the inequality
0<x<2320
Alternative Form
x∈(0,2320)
Evaluate
−5<−2x3<0
Separate into two inequalities
{−5<−2x3−2x3<0
Solve the inequality
More Steps

Evaluate
−5<−2x3
Swap the sides of the inequality
−2x3>−5
Change the signs on both sides of the inequality and flip the inequality sign
2x3<5
Divide both sides
22x3<25
Divide the numbers
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<2320−2x3<0
Solve the inequality
More Steps

Evaluate
−2x3<0
Change the signs on both sides of the inequality and flip the inequality sign
2x3>0
Rewrite the expression
x3>0
The only way a base raised to an odd power can be greater than 0 is if the base is greater than 0
x>0
{x<2320x>0
Solution
0<x<2320
Alternative Form
x∈(0,2320)
Show Solution
