Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
−12<m<24
Alternative Form
m∈(−12,24)
Evaluate
3−2m<9
Simplify
More Steps
Evaluate
3−2m
Rewrite the expression
21(6−m)
Rewrite the expression
21∣6−m∣
21∣6−m∣<9
Rewrite the expression
2∣6−m∣<9
Multiply both sides
∣6−m∣<18
Separate the inequality into 2 possible cases
{6−m<186−m>−18
Solve the inequality for m
More Steps
Evaluate
6−m<18
Move the constant to the right side
−m<18−6
Subtract the numbers
−m<12
Change the signs on both sides of the inequality and flip the inequality sign
m>−12
{m>−126−m>−18
Solve the inequality for m
More Steps
Evaluate
6−m>−18
Move the constant to the right side
−m>−18−6
Subtract the numbers
−m>−24
Change the signs on both sides of the inequality and flip the inequality sign
m<24
{m>−12m<24
Solution
−12<m<24
Alternative Form
m∈(−12,24)
Show Solution
