Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
−314≤x≤−34
Alternative Form
x∈[−314,−34]
Evaluate
−19≤3x−5≤−9
Separate into two inequalities
{−19≤3x−53x−5≤−9
Solve the inequality
More Steps
Evaluate
−19≤3x−5
Swap the sides of the inequality
3x−5≥−19
Move the constant to the right side
3x≥−19+5
Add the numbers
3x≥−14
Divide both sides
33x≥3−14
Divide the numbers
x≥3−14
Use b−a=−ba=−ba to rewrite the fraction
x≥−314
{x≥−3143x−5≤−9
Solve the inequality
More Steps
Evaluate
3x−5≤−9
Move the constant to the right side
3x≤−9+5
Add the numbers
3x≤−4
Divide both sides
33x≤3−4
Divide the numbers
x≤3−4
Use b−a=−ba=−ba to rewrite the fraction
x≤−34
{x≥−314x≤−34
Solution
−314≤x≤−34
Alternative Form
x∈[−314,−34]
Show Solution
