Question
Solve the inequality
−310<x<34
Alternative Form
x∈(−310,34)
Evaluate
−2<x−25x1<5
Separate into two inequalities
{−2<x−25x×1x−25x×1<5
Solve the inequality
More Steps

Evaluate
−2<x−25x×1
Simplify
More Steps

Evaluate
x−25x×1
Multiply the terms
x−25x
Collect like terms by calculating the sum or difference of their coefficients
(1−25)x
Subtract the numbers
−23x
−2<−23x
Swap the sides of the inequality
−23x>−2
Change the signs on both sides of the inequality and flip the inequality sign
23x<2
Multiply by the reciprocal
23x×32<2×32
Multiply
x<2×32
Multiply
More Steps

Evaluate
2×32
Multiply the numbers
32×2
Multiply the numbers
34
x<34
{x<34x−25x×1<5
Solve the inequality
More Steps

Evaluate
x−25x×1<5
Simplify
More Steps

Evaluate
x−25x×1
Multiply the terms
x−25x
Collect like terms by calculating the sum or difference of their coefficients
(1−25)x
Subtract the numbers
−23x
−23x<5
Change the signs on both sides of the inequality and flip the inequality sign
23x>−5
Multiply by the reciprocal
23x×32>−5×32
Multiply
x>−5×32
Multiply
More Steps

Evaluate
−5×32
Multiply the numbers
−35×2
Multiply the numbers
−310
x>−310
{x<34x>−310
Solution
−310<x<34
Alternative Form
x∈(−310,34)
Show Solution
