Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
v∈∅
Alternative Form
No solution
Evaluate
44>2v−10v=114
Separate into two inequalities
{44>2v−10v2v−10v=114
Solve the inequality
More Steps
Evaluate
44>2v−10v
Swap the sides of the inequality
2v−10v<44
Multiply both sides of the inequality by 2
(2v−10v)×2<44×2
Multiply the terms
More Steps
Multiply the terms
(2v−10v)×2
Apply the distributive property
2v×2−10v×2
Reduce the fraction
v−10v×2
Multiply the terms
v−20v
v−20v<44×2
Multiply the terms
v−20v<88
Simplify
More Steps
Evaluate
v−20v
Collect like terms by calculating the sum or difference of their coefficients
(1−20)v
Subtract the numbers
−19v
−19v<88
Change the signs on both sides of the inequality and flip the inequality sign
19v>−88
Divide both sides
1919v>19−88
Divide the numbers
v>19−88
Use b−a=−ba=−ba to rewrite the fraction
v>−1988
{v>−19882v−10v=114
Solve the inequality
More Steps
Evaluate
2v−10v=114
Multiply both sides of the equation by LCD
(2v−10v)×2=114×2
Simplify the equation
More Steps
Evaluate
(2v−10v)×2
Apply the distributive property
2v×2−10v×2
Simplify
v−10v×2
Multiply the numbers
v−20v
Collect like terms by calculating the sum or difference of their coefficients
(1−20)v
Subtract the numbers
−19v
−19v=114×2
Simplify the equation
−19v=228
Change the signs on both sides of the equation
19v=−228
Divide both sides
1919v=19−228
Divide the numbers
v=19−228
Divide the numbers
More Steps
Evaluate
19−228
Reduce the numbers
1−12
Calculate
−12
v=−12
{v>−1988v=−12
Solution
v∈∅
Alternative Form
No solution
Show Solution
