Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
−37<x<3
Alternative Form
x∈(−37,3)
Evaluate
∣3x−1∣<8
Separate the inequality into 2 possible cases
{3x−1<83x−1>−8
Solve the inequality for x
More Steps
Evaluate
3x−1<8
Move the constant to the right side
3x<8+1
Add the numbers
3x<9
Divide both sides
33x<39
Divide the numbers
x<39
Divide the numbers
More Steps
Evaluate
39
Reduce the numbers
13
Calculate
3
x<3
{x<33x−1>−8
Solve the inequality for x
More Steps
Evaluate
3x−1>−8
Move the constant to the right side
3x>−8+1
Add the numbers
3x>−7
Divide both sides
33x>3−7
Divide the numbers
x>3−7
Use b−a=−ba=−ba to rewrite the fraction
x>−37
{x<3x>−37
Solution
−37<x<3
Alternative Form
x∈(−37,3)
Show Solution
