Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
−32<x<34
Alternative Form
x∈(−32,34)
Evaluate
∣3x−1∣<3
Separate the inequality into 2 possible cases
{3x−1<33x−1>−3
Solve the inequality for x
More Steps
Evaluate
3x−1<3
Move the constant to the right side
3x<3+1
Add the numbers
3x<4
Divide both sides
33x<34
Divide the numbers
x<34
{x<343x−1>−3
Solve the inequality for x
More Steps
Evaluate
3x−1>−3
Move the constant to the right side
3x>−3+1
Add the numbers
3x>−2
Divide both sides
33x>3−2
Divide the numbers
x>3−2
Use b−a=−ba=−ba to rewrite the fraction
x>−32
{x<34x>−32
Solution
−32<x<34
Alternative Form
x∈(−32,34)
Show Solution
