Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
1<x<3
Alternative Form
x∈(1,3)
Evaluate
∣3x−6∣<3
Simplify
More Steps
Evaluate
∣3x−6∣
Rewrite the expression
∣3(x−2)∣
Rewrite the expression
3∣x−2∣
3∣x−2∣<3
Divide both sides
33∣x−2∣<33
Divide the numbers
∣x−2∣<33
Divide the numbers
More Steps
Evaluate
33
Reduce the numbers
11
Calculate
1
∣x−2∣<1
Separate the inequality into 2 possible cases
{x−2<1x−2>−1
Solve the inequality for x
More Steps
Evaluate
x−2<1
Move the constant to the right side
x<1+2
Add the numbers
x<3
{x<3x−2>−1
Solve the inequality for x
More Steps
Evaluate
x−2>−1
Move the constant to the right side
x>−1+2
Add the numbers
x>1
{x<3x>1
Solution
1<x<3
Alternative Form
x∈(1,3)
Show Solution
