Posted by **mysterychicken** on Friday, May 1, 2009 at 3:23pm.

Can someone please show me how to solve these problems step-by-step 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:

m-27=85

3.Use transformations to solve the equation:

2.5 (6+k)=3k

4.Use transformations to solve the inequality:

19-3m+5+7m < 0

Basically I don't get transformations and inverse operations. Pleeasee help! THANKS A MILLION =)

-MC

- Pre-Algebra -
**Reiny**, Friday, May 1, 2009 at 5:24pm
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

m-27 = 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 ?

- Pre-Algebra -
**mysterychicken**, Friday, May 1, 2009 at 5:36pm
Ummm OK thanks; I think I have a couple more questions coming up...

-MC

- Pre-Algebra -
**eli**, Saturday, April 9, 2011 at 3:54am
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 .

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