I don't know where it should go or if I'm going the wrong way | Mathematics | Page 1

graceful doveBOT Sep 3, 2024, 1:36 AM

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hushed heart Sep 3, 2024, 1:38 AM

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|a|<1 implies that -1<a<1

cinder elbow Sep 3, 2024, 1:39 AM

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ok so

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is it correct that i develop the first one i think that's the word for it

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because what i do is

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caso 1 or case 1

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i make it so i solve that one

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-3x < 2x+3-2 then
-3x-2x< 1 no?

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and then -5x < 1

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is that it?

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at least for case 1

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WAIT im doing it another way aren't i

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sorry

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is that better or easier than what i was trying-

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wait uhmmm

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ok

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let me try what you said

hushed heart Sep 3, 2024, 1:44 AM

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You can't cross product because you don't know the sign of the expression that you're multiplying by

cinder elbow Sep 3, 2024, 1:44 AM

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what is cross product

hushed heart Sep 3, 2024, 1:44 AM

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You multiplied by 2x+3 right?

cinder elbow Sep 3, 2024, 1:44 AM

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yeah yeah

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that?

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i can't do that

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?

hushed heart Sep 3, 2024, 1:45 AM

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Yes

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You don't know its sign

cinder elbow Sep 3, 2024, 1:45 AM

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but if they're absolute value it would it not be the same?

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wait ok

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sign, right

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this this, how do i try this

hushed heart Sep 3, 2024, 1:46 AM

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Do you know the sign table btw

cinder elbow Sep 3, 2024, 1:46 AM

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ok so im thinking

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it's likeeee

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uh in this case

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i don't think i know

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but i know what IT is

hushed heart Sep 3, 2024, 1:47 AM

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So basically
2x-3 equals 0 if x=3/2 right?

cinder elbow Sep 3, 2024, 1:48 AM

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right

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OH

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so the bottom one

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?

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denominator

hushed heart Sep 3, 2024, 1:49 AM

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You take a number before 3/2 for example 1 plug in 1 in 2x-3
We get -1 therefore every number before 3/2 makes our expression negative right?

cinder elbow Sep 3, 2024, 1:49 AM

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ok yeah i know how that works

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but

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then

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just 2x-3?

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wait

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both of them?

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2x+3 and 2-3x?

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a lil confusing but

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like numerator and denominator?

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cuz it would be -3/2 instead

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so then if i take 1 it would be positive if it's 2x+3

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but like what equations am i inputing in for the table

hushed heart Sep 3, 2024, 1:53 AM

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Forget this thing we can do something easier

cinder elbow Sep 3, 2024, 1:53 AM

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alr sorry

hushed heart Sep 3, 2024, 1:54 AM

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so you have abs of quotient you can split the absoulute value

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cinder elbow Sep 3, 2024, 1:55 AM

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okayyy

hushed heart Sep 3, 2024, 1:56 AM

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hushed heart

cinder elbow Sep 3, 2024, 1:56 AM

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i can just do that?

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okayy

hushed heart Sep 3, 2024, 1:56 AM

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Yes

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Now it is easy

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Just square both sites and some simple algebra you will get a simple inequality

cinder elbow Sep 3, 2024, 1:57 AM

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oh oh and it wouldn't flip anything since it's

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always positive right?

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let me try that

hushed heart Sep 3, 2024, 1:57 AM

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Absolutely

cinder elbow Sep 3, 2024, 2:03 AM

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WHAT this brought me to the answer i already had

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but hey i have a new way of doing it

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it left me to

-1/5 < x < 5

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so, yeah

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that

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ill look into trying the sign table cuz that also seems faster

hushed heart Sep 3, 2024, 2:05 AM

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That's what i got too

cinder elbow Sep 3, 2024, 2:10 AM

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YAY

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THANK YOU

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sotrue

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is that a bad emote

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for a happy

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Okay yeah that's all

hushed heart Sep 3, 2024, 2:12 AM

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If somehow you found a mistake just pardon me because it's 3am

cinder elbow Sep 3, 2024, 2:16 AM

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OH THAT'S OKAY

#I don't know where it should go or if I'm going the wrong way