Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
x∈(−∞,−87)∪(821,+∞)
Evaluate
∣7−8x∣>14
Separate the inequality into 2 possible cases
7−8x>147−8x<−14
Solve the inequality for x
More Steps
Evaluate
7−8x>14
Move the constant to the right side
−8x>14−7
Subtract the numbers
−8x>7
Change the signs on both sides of the inequality and flip the inequality sign
8x<−7
Divide both sides
88x<8−7
Divide the numbers
x<8−7
Use b−a=−ba=−ba to rewrite the fraction
x<−87
x<−877−8x<−14
Solve the inequality for x
More Steps
Evaluate
7−8x<−14
Move the constant to the right side
−8x<−14−7
Subtract the numbers
−8x<−21
Change the signs on both sides of the inequality and flip the inequality sign
8x>21
Divide both sides
88x>821
Divide the numbers
x>821
x<−87x>821
Solution
x∈(−∞,−87)∪(821,+∞)
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