Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
x∈(−∞,−87)∪(87,+∞)
Evaluate
7∣x×8∣>1
Simplify
More Steps
Evaluate
7∣x×8∣
Use the commutative property to reorder the terms
7∣8x∣
Calculate the absolute value
78∣x∣
78∣x∣>1
Multiply both sides of the inequality by 7
78∣x∣×7>1×7
Multiply the terms
8∣x∣>1×7
Multiply the terms
8∣x∣>7
Divide both sides
88∣x∣>87
Divide the numbers
∣x∣>87
Separate the inequality into 2 possible cases
x>87x<−87
Solution
x∈(−∞,−87)∪(87,+∞)
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