Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
−21≤x≤35
Alternative Form
x∈[−21,35]
Evaluate
4x−7≤7
Simplify
More Steps
Evaluate
4x−7
Rewrite the expression
41(x−7)
Rewrite the expression
41∣x−7∣
41∣x−7∣≤7
Rewrite the expression
4∣x−7∣≤7
Multiply both sides
∣x−7∣≤28
Separate the inequality into 2 possible cases
{x−7≤28x−7≥−28
Solve the inequality for x
More Steps
Evaluate
x−7≤28
Move the constant to the right side
x≤28+7
Add the numbers
x≤35
{x≤35x−7≥−28
Solve the inequality for x
More Steps
Evaluate
x−7≥−28
Move the constant to the right side
x≥−28+7
Add the numbers
x≥−21
{x≤35x≥−21
Solution
−21≤x≤35
Alternative Form
x∈[−21,35]
Show Solution
