Question
Solve the inequality
−26800≤x≤26800
Alternative Form
x∈[−26800,26800]
Evaluate
−22<4x6≤50
Separate into two inequalities
{−22<4x64x6≤50
Since the left-hand side is always negative,and the right-hand side is always positive or 0,the statement is true for any value of x
{x∈R4x6≤50
Solve the inequality
More Steps

Evaluate
4x6≤50
Divide both sides
44x6≤450
Divide the numbers
x6≤450
Cancel out the common factor 2
x6≤225
Take the 6-th root on both sides of the inequality
6x6≤6225
Calculate
∣x∣≤26800
Separate the inequality into 2 possible cases
{x≤26800x≥−26800
Find the intersection
−26800≤x≤26800
{x∈R−26800≤x≤26800
Solution
−26800≤x≤26800
Alternative Form
x∈[−26800,26800]
Show Solution
