Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
x∈(−∞,−41)∪(419,+∞)
Evaluate
∣9−4x∣>10
Separate the inequality into 2 possible cases
9−4x>109−4x<−10
Solve the inequality for x
More Steps
Evaluate
9−4x>10
Move the constant to the right side
−4x>10−9
Subtract the numbers
−4x>1
Change the signs on both sides of the inequality and flip the inequality sign
4x<−1
Divide both sides
44x<4−1
Divide the numbers
x<4−1
Use b−a=−ba=−ba to rewrite the fraction
x<−41
x<−419−4x<−10
Solve the inequality for x
More Steps
Evaluate
9−4x<−10
Move the constant to the right side
−4x<−10−9
Subtract the numbers
−4x<−19
Change the signs on both sides of the inequality and flip the inequality sign
4x>19
Divide both sides
44x>419
Divide the numbers
x>419
x<−41x>419
Solution
x∈(−∞,−41)∪(419,+∞)
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