use set-builder notation to describe the complete solution
5[3m-(m+6)]>-6(m-5)
5[3m-(m+6)]>-6(m-5)
5[3m-m-6] > -6m+30
5[2m-6] > -6m+30
10m -30 > -6m+30
16m > 60
m > 60/16
m > 15/4
so the solution is {m │ m > 15/4}
solve by the elimination method
2x-4y=5
2x-4y=6
solve the system by the elimination methods
5x+2y=13
7x-3y=17
Solve
x+6<-7or x+6>4
Thanks so much Reiny
To solve the inequality 5[3m-(m+6)] > -6(m-5), we can start by simplifying the expression on both sides of the inequality sign.
First, let's simplify the left-hand side:
5[3m - (m + 6)] = 5[3m - m - 6] = 5(2m - 6) = 10m - 30
Now, let's simplify the right-hand side:
-6(m - 5) = -6m + 30
After simplifying both sides of the inequality, we now have:
10m - 30 > -6m + 30
Next, we can move all variables to one side of the inequality and the constants to the other side:
10m + 6m > 30 + 30
16m > 60
To isolate the variable, we divide both sides of the inequality by 16:
m > 60/16
Simplifying the right-hand side:
m > 15/4
Now we can express the complete solution in set-builder notation. The set-builder notation for the complete solution of the inequality m > 15/4 is:
{m | m > 15/4}