expression help!

How many solutions does 3m-4<3(m-6) have?

The solution I came up with is -4<-18 and i beleive it to have no solution? Or could there be a solution possibly and I am just not seeing it?

The answers are:

1) infinately many solutions
2) one solution
3) no solution
4) two solutons

I do appreciate your help!!!!!! :lol:

Flower9 said:

How many solutions does 3m-4<3(m-6) have? The solution I came up with is -4<-18 and i beleive it to have no solution?

Click to expand...

We have the following:

. . . . .3m - 4 < 3(m - 6)

. . . . .3m - 4 < 3m - 18

. . . . .3m - 3m - 4 < 3m - 3m - 18

. . . . .-4 < -18

So your "solution" is correct. But is -4 ever less than -18? Of course not. So this statement is not true.

Since the value of "m" has no effect on the validity of this statement (it's going to be false, no matter what "m" is), then there can be no possible solution.

So you were right!

Eliz.