Question
Solve the inequality
34≤x≤316
Alternative Form
x∈[34,316]
Evaluate
−6≤3x−10≤6
Separate into two inequalities
{−6≤3x−103x−10≤6
Solve the inequality
More Steps

Evaluate
−6≤3x−10
Swap the sides of the inequality
3x−10≥−6
Move the constant to the right side
3x≥−6+10
Add the numbers
3x≥4
Divide both sides
33x≥34
Divide the numbers
x≥34
{x≥343x−10≤6
Solve the inequality
More Steps

Evaluate
3x−10≤6
Move the constant to the right side
3x≤6+10
Add the numbers
3x≤16
Divide both sides
33x≤316
Divide the numbers
x≤316
{x≥34x≤316
Solution
34≤x≤316
Alternative Form
x∈[34,316]
Show Solution
