Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
−5<x<15
Alternative Form
x∈(−5,15)
Evaluate
∣x−5∣×2<20
Multiply the terms
2∣x−5∣<20
Divide both sides
22∣x−5∣<220
Divide the numbers
∣x−5∣<220
Divide the numbers
More Steps
Evaluate
220
Reduce the numbers
110
Calculate
10
∣x−5∣<10
Separate the inequality into 2 possible cases
{x−5<10x−5>−10
Solve the inequality for x
More Steps
Evaluate
x−5<10
Move the constant to the right side
x<10+5
Add the numbers
x<15
{x<15x−5>−10
Solve the inequality for x
More Steps
Evaluate
x−5>−10
Move the constant to the right side
x>−10+5
Add the numbers
x>−5
{x<15x>−5
Solution
−5<x<15
Alternative Form
x∈(−5,15)
Show Solution
