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

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

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

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how do u write the interval notation using the union sign
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,\[\large\rm 2\lt y\]
how do u do the union sign?
Again, to do it in text, you'll have to google it :) lol In the equation tool, it's the command \cup
no i mean write it in interval notation
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
i checked and i got t right
...?? 0_o -2 and -4 are not the correct values though..
yeah -2 isnt \ just checked forgot it was -6
-4 is right though
No, neither number is correct :( One sec..
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 \(\large\rm y\lt -3\)
yeah nevermind
Hard to keep track of all these little steps :D lol
i c my mistake sorry
now finally how do u do the union thingy
\(\large\rm y\lt-3 ~OR~ y\gt2\) 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.
y<-3*
so the u is replaced for or?
Yes :) The union symbol and the word OR mean the same thing
But we have a little more to do
ooh wow does that sound easy now what grade r u in and state
i only need the union sign
\(\large\rm y\lt-3\) 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
oh you don't need the intervals? :D
nope the intervals have to be as the union sign or something like that
these are disjunctions so yeah
lol
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\[\large\rm (-\infty,-3)\cup(2,\infty)\]
thnx what grade r u in

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