Question
Solve the inequality
x∈(−∞,5]∪[13,+∞)
Evaluate
4∣x−9∣≥16
Divide both sides
44∣x−9∣≥416
Divide the numbers
∣x−9∣≥416
Divide the numbers
More Steps
Evaluate
416
Reduce the numbers
14
Calculate
4
∣x−9∣≥4
Separate the inequality into 2 possible cases
x−9≥4x−9≤−4
Solve the inequality for x
More Steps
Evaluate
x−9≥4
Move the constant to the right side
x≥4+9
Add the numbers
x≥13
x≥13x−9≤−4
Solve the inequality for x
More Steps
Evaluate
x−9≤−4
Move the constant to the right side
x≤−4+9
Add the numbers
x≤5
x≥13x≤5
Solution
x∈(−∞,5]∪[13,+∞)
Show Solution