PreAlgebra
posted by mysterychicken .
Can someone please show me how to solve these problems stepbystep so that I can understand how to do them?
1.Use inverse operations to write a related inequality and solve for the variable:
d/6 < 12
2.Use inverse operations to solve the inequality:
m27=85
3.Use transformations to solve the equation:
2.5 (6+k)=3k
4.Use transformations to solve the inequality:
193m+5+7m < 0
Basically I don't get transformations and inverse operations. Pleeasee help! THANKS A MILLION =)
MC

remember the inverse operation of multiplication is division and vice versa
and the inverse operation of addition is subtraction and vice versa
so in #1 ,
d/6 < 12 , we have a division by 6, so the inverse is multiplication by 6
so multiply both sides by 6
d < 72
in #2
m27 = 85
m  27 + 27 = 85 + + 27
m = 112
looks like a big deal is made about nothing
using "transformations" to solve such trivial questions as #3 and #4 ????
Why not just go ahead and solve it ? 
Ummm OK thanks; I think I have a couple more questions coming up...
MC 
Josh is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.
Company A charges and allows unlimited mileage.
Company B has an initial fee of and charges an additional for every mile driven.
For what mileages will Company A charge less than Company B?
Use for the number of miles driven, and solve your inequality for .