Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
x∈(−∞,−6]∪[−2,2]∪[6,+∞)
Evaluate
x2−4≥2
Separate the inequality into 2 possible cases
x2−4≥2x2−4≤−2
Solve the inequality for x
More Steps
Evaluate
x2−4≥2
Move the constant to the right side
x2≥2+4
Add the numbers
x2≥6
Take the 2-th root on both sides of the inequality
x2≥6
Calculate
∣x∣≥6
Separate the inequality into 2 possible cases
x≥6x≤−6
Find the union
x∈(−∞,−6]∪[6,+∞)
x∈(−∞,−6]∪[6,+∞)x2−4≤−2
Solve the inequality for x
More Steps
Evaluate
x2−4≤−2
Move the constant to the right side
x2≤−2+4
Add the numbers
x2≤2
Take the 2-th root on both sides of the inequality
x2≤2
Calculate
∣x∣≤2
Separate the inequality into 2 possible cases
{x≤2x≥−2
Find the intersection
−2≤x≤2
x∈(−∞,−6]∪[6,+∞)−2≤x≤2
Solution
x∈(−∞,−6]∪[−2,2]∪[6,+∞)
Show Solution
