SOLUTION: my inequality is -4y > 3x+2 when i divide out the -4 at the end half of the problem to solve for y do i divide it from all terms

Question 281480: my inequality is -4y > 3x+2 when i divide out the -4 at the end half of the problem to solve for y do i divide it from all terms
Found 2 solutions by stanbon, richwmiller:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
my inequality is -4y > 3x+2 when i divide out the -4 at the end half of the problem to solve for y do i divide it from all terms
-------------------
You are required to maintain the relation of the left side
to the right side; also you have to keep in mind that
dividing or multiplying an inequality by a negative quantity
reverses the order of the inequality.
So dividing by -4 causes three changes:
1st: the sign of the left side changes
2nd: the sign of the right side changes
3rd: the order of the inequality changes
----
So you get:
y< -[(3x+2)/4]
Then y < -[(3/4)x+(1/2)]
And
y < (-3/4)x - (1/2)
======================
Another way to look at the solution is the following
-4y > 3x+2
Add 4y to both sides and you get:
0 > 4y+3x+2
Now, subtract 3x+2 from both sides and you get:
-3x-2 > 4y
Now divide both sides by +4
(-3/4)x -(1/2) > y
Write the y on the left side as is normally done
y < (-3/4)x - (1/2)
==========================
Cheers,
Stan H.

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
yes and you have to change the sign from > to <
y<-3x/4-2/4
y<-3x/4-1/2
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