Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
−32<x<0
Alternative Form
x∈(−32,0)
Evaluate
∣−3x−1∣<1
Rewrite the expression
∣3x+1∣<1
Separate the inequality into 2 possible cases
{3x+1<13x+1>−1
Solve the inequality for x
More Steps
Evaluate
3x+1<1
Cancel equal terms on both sides of the expression
3x<0
Rewrite the expression
x<0
{x<03x+1>−1
Solve the inequality for x
More Steps
Evaluate
3x+1>−1
Move the constant to the right side
3x>−1−1
Subtract 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<0x>−32
Solution
−32<x<0
Alternative Form
x∈(−32,0)
Show Solution
