Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
−2<x<8
Alternative Form
x∈(−2,8)
Evaluate
∣2x−6∣<10
Simplify
More Steps
Evaluate
∣2x−6∣
Rewrite the expression
∣2(x−3)∣
Rewrite the expression
2∣x−3∣
2∣x−3∣<10
Divide both sides
22∣x−3∣<210
Divide the numbers
∣x−3∣<210
Divide the numbers
More Steps
Evaluate
210
Reduce the numbers
15
Calculate
5
∣x−3∣<5
Separate the inequality into 2 possible cases
{x−3<5x−3>−5
Solve the inequality for x
More Steps
Evaluate
x−3<5
Move the constant to the right side
x<5+3
Add the numbers
x<8
{x<8x−3>−5
Solve the inequality for x
More Steps
Evaluate
x−3>−5
Move the constant to the right side
x>−5+3
Add the numbers
x>−2
{x<8x>−2
Solution
−2<x<8
Alternative Form
x∈(−2,8)
Show Solution
