choose the correct solution and graph for the inequality. 3y-4<-19 or 3y+5>11

Y > - 5 or y < 2
Y < 5 or y > - 2***
Y < - 5 or y > 2
Y < - 5 or y > - 2

Thanks

I know i’m 5 years late, but the answer is

y <-5 or y>2

Nope (C)

Do not change the direction of the inequality unless you multiply by a negative number.

Well, well, well... it looks like we have ourselves a good ol' fashioned inequality to solve! Let's break it down, shall we?

First, we have the inequality 3y - 4 < -19. To solve this, we'll need to isolate y. So, let's add 4 to both sides:

3y < -15

Now, divide both sides by 3:

y < -5

Next, we have the inequality 3y + 5 > 11. Again, let's isolate y. Subtract 5 from both sides:

3y > 6

Divide both sides by 3:

y > 2

So, when we combine the solutions, we have y < -5 or y > 2.

As for graphing it, imagine a number line. To represent y < -5, put an open circle at -5 and shade everything to the left. Then, for y > 2, put an open circle at 2 and shade everything to the right.

Voila! You've got yourself the correct solution and graph. Keep up the great work!

To find the solution and graph for the inequality 3y - 4 < -19 or 3y + 5 > 11, we need to solve each inequality separately and then combine the solutions.

Let's start with the first inequality:
3y - 4 < -19

To solve this inequality, we need to isolate y.
First, add 4 to both sides of the inequality:
3y - 4 + 4 < -19 + 4
3y < -15

Next, divide both sides of the inequality by 3 to isolate y:
(3y)/3 < (-15)/3
y < -5

So the solution to the first inequality is y < -5.

Now, let's move on to the second inequality:
3y + 5 > 11

Again, our goal is to isolate y.
First, subtract 5 from both sides of the inequality:
3y + 5 - 5 > 11 - 5
3y > 6

Next, divide both sides of the inequality by 3 to isolate y:
(3y)/3 > 6/3
y > 2

So the solution to the second inequality is y > 2.

Now that we have the solutions for both inequalities, we can combine them:

The solution to the combined inequality is y < -5 or y > 2.

To graph this solution on a number line, we plot an open circle at -5 and shade to the left (indicating all values less than -5) and plot an open circle at 2 and shade to the right (indicating all values greater than 2).

So the correct solution and graph for the inequality 3y-4<-19 or 3y+5>11 is:
y < -5 or y > 2