Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
a∈(−∞,−524)∪(524,+∞)
Evaluate
6∣−5a∣>4
Calculate the absolute value
More Steps
Calculate
∣−5a∣
Rewrite the expression
∣5a∣
Rewrite the expression
5∣a∣
65∣a∣>4
Multiply both sides of the inequality by 6
65∣a∣×6>4×6
Multiply the terms
5∣a∣>4×6
Multiply the terms
5∣a∣>24
Divide both sides
55∣a∣>524
Divide the numbers
∣a∣>524
Separate the inequality into 2 possible cases
a>524a<−524
Solution
a∈(−∞,−524)∪(524,+∞)
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