Question
Solve the inequality
Solve for x
−2<x<3
Alternative Form
x∈(−2,3)
Evaluate
∣2x−1∣<5
Separate the inequality into 2 possible cases
{2x−1<52x−1>−5
Solve the inequality for x
More Steps
Evaluate
2x−1<5
Move the constant to the right side
2x<5+1
Add the numbers
2x<6
Divide both sides
22x<26
Divide the numbers
x<26
Divide the numbers
More Steps
Evaluate
26
Reduce the numbers
13
Calculate
3
x<3
{x<32x−1>−5
Solve the inequality for x
More Steps
Evaluate
2x−1>−5
Move the constant to the right side
2x>−5+1
Add the numbers
2x>−4
Divide both sides
22x>2−4
Divide the numbers
x>2−4
Divide the numbers
More Steps
Evaluate
2−4
Reduce the numbers
1−2
Calculate
−2
x>−2
{x<3x>−2
Solution
−2<x<3
Alternative Form
x∈(−2,3)
Show Solution