Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
21<c<3
Alternative Form
c∈(21,3)
Evaluate
2c−10<5−3c<7c
Separate into two inequalities
{2c−10<5−3c5−3c<7c
Solve the inequality
More Steps
Evaluate
2c−10<5−3c
Move the expression to the left side
2c−10+3c<5
Move the expression to the right side
2c+3c<5+10
Add and subtract
More Steps
Evaluate
2c+3c
Collect like terms by calculating the sum or difference of their coefficients
(2+3)c
Add the numbers
5c
5c<5+10
Add and subtract
5c<15
Divide both sides
55c<515
Divide the numbers
c<515
Divide the numbers
More Steps
Evaluate
515
Reduce the numbers
13
Calculate
3
c<3
{c<35−3c<7c
Solve the inequality
More Steps
Evaluate
5−3c<7c
Move the variable to the left side
5−3c−7c<0
Subtract the terms
More Steps
Evaluate
−3c−7c
Collect like terms by calculating the sum or difference of their coefficients
(−3−7)c
Subtract the numbers
−10c
5−10c<0
Move the constant to the right side
−10c<0−5
Removing 0 doesn't change the value,so remove it from the expression
−10c<−5
Change the signs on both sides of the inequality and flip the inequality sign
10c>5
Divide both sides
1010c>105
Divide the numbers
c>105
Cancel out the common factor 5
c>21
{c<3c>21
Solution
21<c<3
Alternative Form
c∈(21,3)
Show Solution
