Question
Solve the inequality
2344<x<2384
Alternative Form
x∈(2344,2384)
Evaluate
11<2x3<21
Separate into two inequalities
{11<2x32x3<21
Solve the inequality
More Steps

Evaluate
11<2x3
Swap the sides of the inequality
2x3>11
Divide both sides
22x3>211
Divide the numbers
x3>211
Take the 3-th root on both sides of the equation
3x3>3211
Calculate
x>3211
Simplify the root
More Steps

Evaluate
3211
To take a root of a fraction,take the root of the numerator and denominator separately
32311
Multiply by the Conjugate
32×322311×322
Simplify
32×322311×34
Multiply the numbers
32×322344
Multiply the numbers
2344
x>2344
{x>23442x3<21
Solve the inequality
More Steps

Evaluate
2x3<21
Divide both sides
22x3<221
Divide the numbers
x3<221
Take the 3-th root on both sides of the equation
3x3<3221
Calculate
x<3221
Simplify the root
More Steps

Evaluate
3221
To take a root of a fraction,take the root of the numerator and denominator separately
32321
Multiply by the Conjugate
32×322321×322
Simplify
32×322321×34
Multiply the numbers
32×322384
Multiply the numbers
2384
x<2384
{x>2344x<2384
Solution
2344<x<2384
Alternative Form
x∈(2344,2384)
Show Solution
