Question
Solve the inequality
x∈(−∞,−215]∪[215,+∞)
Evaluate
3∣2x×1∣≥5
Simplify
More Steps

Evaluate
3∣2x×1∣
Multiply the terms
3∣2x∣
Calculate the absolute value
32∣x∣
32∣x∣≥5
Multiply both sides of the inequality by 3
32∣x∣×3≥5×3
Multiply the terms
2∣x∣≥5×3
Multiply the terms
2∣x∣≥15
Divide both sides
22∣x∣≥215
Divide the numbers
∣x∣≥215
Separate the inequality into 2 possible cases
x≥215x≤−215
Solution
x∈(−∞,−215]∪[215,+∞)
Show Solution
