Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
x∈(−25,0)∪(0,+∞)
Evaluate
5x2x2>−1
Find the domain
More Steps
Evaluate
5x=0
Rewrite the expression
x=0
5x2x2>−1,x=0
Divide the terms
More Steps
Evaluate
5x2x2
Use the product rule aman=an−m to simplify the expression
52x2−1
Reduce the fraction
52x
52x>−1
Multiply both sides of the inequality by 5
52x×5>−5
Multiply the terms
2x>−5
Divide both sides
22x>2−5
Divide the numbers
x>2−5
Use b−a=−ba=−ba to rewrite the fraction
x>−25
Check if the solution is in the defined range
x>−25,x=0
Solution
x∈(−25,0)∪(0,+∞)
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