Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
0≤x≤232
Alternative Form
x∈[0,232]
Evaluate
2x3≤8
Find the domain
More Steps
Evaluate
x3≥0
The only way a base raised to an odd power can be greater than or equal to 0 is if the base is greater than or equal to 0
x≥0
2x3≤8,x≥0
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
Raise both sides of the inequality to the power of 2
x3≤42
Take the 3-th root on both sides of the equation
3x3≤342
Calculate
x≤342
Evaluate the root
More Steps
Evaluate
342
Transform the expression
324
Rewrite the exponent as a sum where one of the addends is a multiple of the index
323+1
Use am+n=am×an to expand the expression
323×2
The root of a product is equal to the product of the roots of each factor
323×32
Reduce the index of the radical and exponent with 3
232
x≤232
Check if the solution is in the defined range
x≤232,x≥0
Solution
0≤x≤232
Alternative Form
x∈[0,232]
Show Solution
