Question
Solve the inequality
x∈(−5,−2)∪(2,5)
Evaluate
2<x2<5
Separate into two inequalities
{2<x2x2<5
Solve the inequality
More Steps

Evaluate
2<x2
Swap the sides of the inequality
x2>2
Take the 2-th root on both sides of the inequality
x2>2
Calculate
∣x∣>2
Separate the inequality into 2 possible cases
x>2x<−2
Find the union
x∈(−∞,−2)∪(2,+∞)
{x∈(−∞,−2)∪(2,+∞)x2<5
Solve the inequality
More Steps

Evaluate
x2<5
Take the 2-th root on both sides of the inequality
x2<5
Calculate
∣x∣<5
Separate the inequality into 2 possible cases
{x<5x>−5
Find the intersection
−5<x<5
{x∈(−∞,−2)∪(2,+∞)−5<x<5
Solution
x∈(−5,−2)∪(2,5)
Show Solution
