Question

I need some help with 7{3m -(m+2)} > -6 (m-3)
I am supposed to use set-builder notation to describe solution, {m I m > ? if some one could explain to me step by step i would appreciate

Answer 1

First solve the inequality for m

Answer 2

how do you do that

Answer 3

distribute the -6 and the 7, then combine like terms, then see what you have.

Answer 4

Move all the m terms to one side, and non-m terms to the other.

Answer 5

ok but dont i get rid of the parenthesis first, see i get confused on that

Answer 6

certainly, but you have to distribute to remove the parens.

Answer 7

see if i am right, i had 14m + 14 > -6m - 18 then i added 6m to each side, 8m + 14 > - 18 then I subtracted 14 from each side and then I have 8m> -32 is this right so far

Answer 8

Not quite. You're losing track of your negative signs.

\[7[3m-(m+2)] \gt -6(m-3)\]
\[7[3m-m - 2] \gt -6m -6(-3)\]

Answer 9

Finish from there.