Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
−2≤x≤6
Alternative Form
x∈[−2,6]
Evaluate
∣2−x∣≤4
Separate the inequality into 2 possible cases
{2−x≤42−x≥−4
Solve the inequality for x
More Steps
Evaluate
2−x≤4
Move the constant to the right side
−x≤4−2
Subtract the numbers
−x≤2
Change the signs on both sides of the inequality and flip the inequality sign
x≥−2
{x≥−22−x≥−4
Solve the inequality for x
More Steps
Evaluate
2−x≥−4
Move the constant to the right side
−x≥−4−2
Subtract the numbers
−x≥−6
Change the signs on both sides of the inequality and flip the inequality sign
x≤6
{x≥−2x≤6
Solution
−2≤x≤6
Alternative Form
x∈[−2,6]
Show Solution
