Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
−9<x<9
Alternative Form
x∈(−9,9)
Evaluate
73x−9<12
Simplify
More Steps
Evaluate
73x−9
Calculate the absolute value
More Steps
Calculate
3x
Rewrite the expression
31x
Rewrite the expression
31∣x∣
7×31∣x∣−9
Multiply the numbers
37∣x∣−9
37∣x∣−9<12
Move the expression to the left side
37∣x∣−9−12<0
Subtract the numbers
37∣x∣−21<0
Rewrite the expression
37∣x∣<21
Rewrite the expression
37∣x∣<21
Multiply both sides
7∣x∣<63
Divide both sides
77∣x∣<763
Divide the numbers
∣x∣<763
Divide the numbers
More Steps
Evaluate
763
Reduce the numbers
19
Calculate
9
∣x∣<9
Separate the inequality into 2 possible cases
{x<9x>−9
Solution
−9<x<9
Alternative Form
x∈(−9,9)
Show Solution
