Question
Solve the inequality
x∈(−∞,−25176)∪(25176,+∞)
Evaluate
62x5>66
Simplify
More Steps

Evaluate
62x5
Calculate the absolute value
6×2x5
Multiply the terms
12x5
12x5>66
Divide both sides
1212x5>1266
Divide the numbers
x5>1266
Cancel out the common factor 6
x5>211
Separate the inequality into 2 possible cases
x5>211x5<−211
Solve the inequality for x
More Steps

Evaluate
x5>211
Take the 5-th root on both sides of the equation
5x5>5211
Calculate
x>5211
Simplify the root
More Steps

Evaluate
5211
To take a root of a fraction,take the root of the numerator and denominator separately
52511
Multiply by the Conjugate
52×524511×524
Simplify
52×524511×516
Multiply the numbers
52×5245176
Multiply the numbers
25176
x>25176
x>25176x5<−211
Solve the inequality for x
More Steps

Evaluate
x5<−211
Take the 5-th root on both sides of the equation
5x5<5−211
Calculate
x<5−211
Simplify the root
More Steps

Evaluate
5−211
An odd root of a negative radicand is always a negative
−5211
To take a root of a fraction,take the root of the numerator and denominator separately
−52511
Multiply by the Conjugate
52×524−511×524
Simplify
52×524−511×516
Multiply the numbers
52×524−5176
Multiply the numbers
2−5176
Calculate
−25176
x<−25176
x>25176x<−25176
Solution
x∈(−∞,−25176)∪(25176,+∞)
Show Solution
