Question
Solve the inequality
3<x≤5
Alternative Form
x∈(3,5]
Evaluate
7<3x−2≤13
Separate into two inequalities
{7<3x−23x−2≤13
Solve the inequality
More Steps

Evaluate
7<3x−2
Swap the sides of the inequality
3x−2>7
Move the constant to the right side
3x>7+2
Add the numbers
3x>9
Divide both sides
33x>39
Divide the numbers
x>39
Divide the numbers
More Steps

Evaluate
39
Reduce the numbers
13
Calculate
3
x>3
{x>33x−2≤13
Solve the inequality
More Steps

Evaluate
3x−2≤13
Move the constant to the right side
3x≤13+2
Add the numbers
3x≤15
Divide both sides
33x≤315
Divide the numbers
x≤315
Divide the numbers
More Steps

Evaluate
315
Reduce the numbers
15
Calculate
5
x≤5
{x>3x≤5
Solution
3<x≤5
Alternative Form
x∈(3,5]
Show Solution
