Question
Solve the inequality
5≤x<7
Alternative Form
x∈[5,7)
Evaluate
9≤3x−6<15
Separate into two inequalities
{9≤3x−63x−6<15
Solve the inequality
More Steps

Evaluate
9≤3x−6
Swap the sides of the inequality
3x−6≥9
Move the constant to the right side
3x≥9+6
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≥53x−6<15
Solve the inequality
More Steps

Evaluate
3x−6<15
Move the constant to the right side
3x<15+6
Add the numbers
3x<21
Divide both sides
33x<321
Divide the numbers
x<321
Divide the numbers
More Steps

Evaluate
321
Reduce the numbers
17
Calculate
7
x<7
{x≥5x<7
Solution
5≤x<7
Alternative Form
x∈[5,7)
Show Solution
