Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
n∈(−∞,−1]∪[47,+∞)
Evaluate
∣8n−3∣≥11
Separate the inequality into 2 possible cases
8n−3≥118n−3≤−11
Solve the inequality for n
More Steps
Evaluate
8n−3≥11
Move the constant to the right side
8n≥11+3
Add the numbers
8n≥14
Divide both sides
88n≥814
Divide the numbers
n≥814
Cancel out the common factor 2
n≥47
n≥478n−3≤−11
Solve the inequality for n
More Steps
Evaluate
8n−3≤−11
Move the constant to the right side
8n≤−11+3
Add the numbers
8n≤−8
Divide both sides
88n≤8−8
Divide the numbers
n≤8−8
Divide the numbers
More Steps
Evaluate
8−8
Reduce the numbers
1−1
Calculate
−1
n≤−1
n≥47n≤−1
Solution
n∈(−∞,−1]∪[47,+∞)
Show Solution
