Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
−4<x<10
Alternative Form
x∈(−4,10)
Evaluate
5∣x−3∣<35
Divide both sides
55∣x−3∣<535
Divide the numbers
∣x−3∣<535
Divide the numbers
More Steps
Evaluate
535
Reduce the numbers
17
Calculate
7
∣x−3∣<7
Separate the inequality into 2 possible cases
{x−3<7x−3>−7
Solve the inequality for x
More Steps
Evaluate
x−3<7
Move the constant to the right side
x<7+3
Add the numbers
x<10
{x<10x−3>−7
Solve the inequality for x
More Steps
Evaluate
x−3>−7
Move the constant to the right side
x>−7+3
Add the numbers
x>−4
{x<10x>−4
Solution
−4<x<10
Alternative Form
x∈(−4,10)
Show Solution
