Question
Solve the inequality
x∈∅
Alternative Form
No solution
Evaluate
85<6x<−105x
Separate into two inequalities
{85<6x6x<−105x
Solve the inequality
More Steps

Evaluate
85<6x
Swap the sides of the inequality
6x>85
Multiply both sides of the equation by 6
6x×6>85×6
Multiply the terms
x>85×6
Divide the terms
x>415
{x>4156x<−105x
Solve the inequality
More Steps

Evaluate
6x<−105x
Divide the terms
More Steps

Evaluate
−105
Cancel out the common factor 5
−21
Use b−a=−ba=−ba to rewrite the fraction
−21
6x<−21x
Rewrite the expression
6x<2−x
Cross multiply
x×2<6(−x)
Simplify the equation
2x<6(−x)
Simplify the equation
2x<−6x
Add or subtract both sides
2x−(−6x)<0
Subtract the terms
More Steps

Evaluate
2x−(−6x)
Collect like terms by calculating the sum or difference of their coefficients
(2−(−6))x
Subtract the terms
8x
8x<0
Rewrite the expression
x<0
{x>415x<0
Solution
x∈∅
Alternative Form
No solution
Show Solution
