Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
−7<x<9
Alternative Form
x∈(−7,9)
Evaluate
43∣x−1∣<6
Multiply both sides of the inequality by 4
43∣x−1∣×4<6×4
Multiply the terms
3∣x−1∣<6×4
Multiply the terms
3∣x−1∣<24
Divide both sides
33∣x−1∣<324
Divide the numbers
∣x−1∣<324
Divide the numbers
More Steps
Evaluate
324
Reduce the numbers
18
Calculate
8
∣x−1∣<8
Separate the inequality into 2 possible cases
{x−1<8x−1>−8
Solve the inequality for x
More Steps
Evaluate
x−1<8
Move the constant to the right side
x<8+1
Add the numbers
x<9
{x<9x−1>−8
Solve the inequality for x
More Steps
Evaluate
x−1>−8
Move the constant to the right side
x>−8+1
Add the numbers
x>−7
{x<9x>−7
Solution
−7<x<9
Alternative Form
x∈(−7,9)
Show Solution
