Question
Solve the inequality
r∈(−∞,−520)∪(520,+∞)
Evaluate
r5>20
Separate the inequality into 2 possible cases
r5>20r5<−20
Solve the inequality for r
More Steps

Evaluate
r5>20
Take the 5-th root on both sides of the equation
5r5>520
Calculate
r>520
r>520r5<−20
Solve the inequality for r
More Steps

Evaluate
r5<−20
Take the 5-th root on both sides of the equation
5r5<5−20
Calculate
r<5−20
An odd root of a negative radicand is always a negative
r<−520
r>520r<−520
Solution
r∈(−∞,−520)∪(520,+∞)
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