Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
m>−223
Alternative Form
m∈(−223,+∞)
Evaluate
3(2m−1)<4m×7
Multiply the terms
3(2m−1)<28m
Expand the expression
More Steps
Evaluate
3(2m−1)
Apply the distributive property
3×2m−3×1
Multiply the numbers
6m−3×1
Any expression multiplied by 1 remains the same
6m−3
6m−3<28m
Move the variable to the left side
6m−3−28m<0
Subtract the terms
More Steps
Evaluate
6m−28m
Collect like terms by calculating the sum or difference of their coefficients
(6−28)m
Subtract the numbers
−22m
−22m−3<0
Move the constant to the right side
−22m<0+3
Removing 0 doesn't change the value,so remove it from the expression
−22m<3
Change the signs on both sides of the inequality and flip the inequality sign
22m>−3
Divide both sides
2222m>22−3
Divide the numbers
m>22−3
Solution
m>−223
Alternative Form
m∈(−223,+∞)
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