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3<4\left(m-3\right)
Subtract 0 from 3 to get 3.
3<4m-12
Use the distributive property to multiply 4 by m-3.
4m-12>3
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
4m>3+12
Add 12 to both sides.
4m>15
Add 3 and 12 to get 15.
m>\frac{15}{4}
Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.