Sorry back again, new issue!

[grim blaze]

When I calculated it, it came up to x ≥ -6 and x ≥ 2. How do I determine which number to choose? Because when I graph both it seems obvious to me to come up with the interval notation, [-6, ∞). Help!

[nimble vine]

👋 Welcome to your Help Thread!

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[atomic silo]

What was the answer again?
Is it x>=2?

[grim blaze]

it probably is, but the thing is I don't understand why it isn't 6

[atomic silo]

Look there's two inequations

One is x>=-6
And x>=2

When this type of case comes up

We gotta choose the values that satisfies both the inequalities

Like -4 isnt greater than -2

So, we do not consider values from (-6,-2)

Or you can say if we take up two sets
A and B

Where A is the set for values satisfying the first inequality

And B be the set of values satisfying the 2nd inequality

The answer satisfying both the inequalities should be

$A \cap B$

[hoary marlin]

Freya

[atomic silo]

Hence, values like
-4 do not satisfy both the inequalities but values like +6 do

@grim blaze was my explanation useful?

[grim blaze]

I'm not sure, you see I graphed it out. And my thought process throughout this is that if x were to be greated than both 2 and... Oohhh now i get it. since x is greater than both 2 and -6, you chose the one closest to it to satisfy both.

[atomic silo]

You can scrape out the set part if you you don't know it

[grim blaze]

Cause if I chose -6 for the interval notation, then it wouldn't account for 2

[atomic silo]

Yes, look lemme give you a humorous real life example lol

Just take it as a joke

You have two friends, one of them like Chinese food and Indian food while the other likes Indian food and Italian food

When you're deciding which cuisine to eat what would you decide?

@grim blaze

[atomic silo]

Including you wont hurt their feelings (lol)

[grim blaze]

hm...

well both chinese and indian food are spicy

so I would choose the one that satisfies the spicy craving the most

[atomic silo]

Think logically

[grim blaze]

oh

haha sorry i read it wrong

indian food

[atomic silo]

Same thing here lol!

[grim blaze]

ahhh

alright I think I get it, but I'll practice some more to ingrain it into my head

[atomic silo]

You want to satisfy both the inequalities just like you want to satisfy both of your friends

[atomic silo]

Yea, you'll get it soon

@grim blaze close the thread if you wanna

Btw isnt this a high school lvl question?

[grim blaze]

nope, college

intermeddiate algebra class rn

[atomic silo]

Fr? 😭

Oh

[atomic silo]

Ohhh ok

[grim blaze]

last semester I failed the class, So I'm taking steps to secure whether I understand the material or not this semester.

[atomic silo]

Yea, go through the questions and understand them

I was confused cause I learnt this in high-school

[grim blaze]

Do not want to fail, at all, but tutoring at my college is like 30 minutes from my house, and I can't drive so I thought about using a discord server like this

[atomic silo]

Wait close this and I'll talk to you in dms

[grim blaze]

ah

+close

[nimble vine]

Please thank your Helpers before closing!

Please thank the helpers who assisted you by clicking the buttons below. You can thank each helper only once. Once you're done, click "Close Post" to close this thread.

[nimble vine]

Thank you for your feedback! Freya has been awarded 1 :helper_points:. They now have 2 :helper_points:. They have 3 :helper_points: daily left for today.

[atomic silo]

:D

Now close