Question

write the solution in interval notation using the union sign U
2y+5<5y-1 or 5y-1<3y-7

Answer 1

@ganeshie8
@zepdrix

Answer 2

\[\large\rm 2y+5\lt 5y-1\]What do you get when you simplify? :)

Answer 3

2y+5<5y-1 or 5y-1<3y-7
-5 -5 +1 +1
2y<5y-6 or 5y<3y-6
-5y -5y -3y -3y
-3y<6 or 2y<-8
////////////////
-3 2
y>-2 or y<-4

Answer 4

@zepdrix

Answer 5

how do u write the interval notation using the union sign

Answer 6

Hmm, those don't look quite right.
Here is what I would recomment for the first relationship.\[\large\rm 2y+5\lt 5y-1\]Subtracting 2y from each side,\[\large\rm 5\lt 3y-1\]Adding 1,\[\large\rm 6\lt 3y\]Divide 3 gives us,\[\large\rm 2\lt y\]

Answer 7

how do u do the union sign?

Answer 8

Again, to do it in text, you'll have to google it :) lol
In the equation tool, it's the command \cup

Answer 9

no i mean write it in interval notation

Answer 10

Well we're not quite there yet :O

Both of your y values look incorrect.
The other y interval I think is \(\large\rm y\lt -3\)
That's what I'm coming up with at least, hmm

Answer 11

i checked and i got t right

Answer 12

...?? 0_o
-2 and -4 are not the correct values though..

Answer 13

yeah -2 isnt \
just checked
forgot it was -6

Answer 14

-4 is right though

Answer 15

No, neither number is correct :(
One sec..

Answer 16

Ya in the first one, it was supposed to be -6, not 6.
So that should change it to \(\large\rm y\gt 2\)

In the second one, your -6 turned into a -8 halfway through.
So fixing that should give you \(\large\rm y\lt -3\)

Answer 17

yeah nevermind

Answer 18

Hard to keep track of all these little steps :D lol

Answer 19

i c my mistake sorry

Answer 20

now finally how do u do the union thingy

Answer 21

\(\large\rm y\lt-3 ~OR~ y\gt2\)
The word OR means union, as you said :)\[\large\rm y\lt-3 ~\cup~ y\gt2\]Let's write the y<3 as an interval.

Answer 22

y<-3*

Answer 23

so the u is replaced for or?

Answer 24

Yes :) The union symbol and the word OR mean the same thing

Answer 25

But we have a little more to do

Answer 26

ooh wow does that sound easy now
what grade r u in
and state

Answer 27

i only need the union sign

Answer 28

\(\large\rm y\lt-3\) can be written as \(\Large\rm \left(-\infty,-3\right)\)

-3 is the largest value this interval can have.
and every number below that should be included in the interval.
Does that make sense? :o

Answer 29

oh you don't need the intervals? :D

Answer 30

nope the intervals have to be as the union sign or something like that

Answer 31

these are disjunctions so yeah

Answer 32

lol

Answer 33

If we're using the Union symbol, we usually write the inequalities as intervals.
So for our problem,\[\large\rm y\lt-3 ~OR~ y\gt2\]We would write it as\[\large\rm (-\infty,-3)\cup(2,\infty)\]

Answer 34

thnx what grade r u in