Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
91≤v≤1
Alternative Form
v∈[91,1]
Evaluate
5v−5≤10−10v≤8v10
Separate into two inequalities
{5v−5≤10−10v10−10v≤8v×10
Solve the inequality
More Steps
Evaluate
5v−5≤10−10v
Move the expression to the left side
5v−5+10v≤10
Move the expression to the right side
5v+10v≤10+5
Add and subtract
More Steps
Evaluate
5v+10v
Collect like terms by calculating the sum or difference of their coefficients
(5+10)v
Add the numbers
15v
15v≤10+5
Add and subtract
15v≤15
Divide both sides
1515v≤1515
Divide the numbers
v≤1515
Divide the numbers
More Steps
Evaluate
1515
Reduce the numbers
11
Calculate
1
v≤1
{v≤110−10v≤8v×10
Solve the inequality
More Steps
Evaluate
10−10v≤8v×10
Multiply the terms
10−10v≤80v
Move the variable to the left side
10−10v−80v≤0
Subtract the terms
More Steps
Evaluate
−10v−80v
Collect like terms by calculating the sum or difference of their coefficients
(−10−80)v
Subtract the numbers
−90v
10−90v≤0
Move the constant to the right side
−90v≤0−10
Removing 0 doesn't change the value,so remove it from the expression
−90v≤−10
Change the signs on both sides of the inequality and flip the inequality sign
90v≥10
Divide both sides
9090v≥9010
Divide the numbers
v≥9010
Cancel out the common factor 10
v≥91
{v≤1v≥91
Solution
91≤v≤1
Alternative Form
v∈[91,1]
Show Solution
