Answer:
Therefore the value is
[tex]m<\dfrac{1}{9}[/tex]
Step-by-step explanation:
Given:
[tex]6m-2(7+3m)>5(2m-3)-m[/tex] ....Given
Step 1. Applying Distributive Property A(B+C)=AB+AC we get
[tex]6m-2\times7-2\times 3m>5\times 2m-5\times 3-m[/tex]
[tex]6m-14-6m>10m-15-m\\-14>9m-15[/tex]
Step 2. Add 15 both the side
[tex]-14+15>9m-15+15\\1>9m[/tex]
Step 3. Dividing both the side by 9
[tex]\dfrac{1}{9}>\dfrac{9m}{9}\\\\\dfrac{1}{9}>m[/tex]
Therefore the value is
[tex]m<\dfrac{1}{9}[/tex]