inequality

[proud zephyr]

Plwase PWLASE Pleasse someone help

[proven hornet]

what's the equation of that straight line

what does it cross

I should've said vertical

[proud zephyr]

Is it y=3/5x+5

I’m not sure if I did the gradient right

[proven hornet]

woah woah woah

why are we dividing

[proud zephyr]

Woahhhh what did I do

Ummmmmmm Idk i tried to di the gradient

Okkk wiat can I have another go

[proven hornet]

have as many goes as you want

[proud zephyr]

Ermmm is it y=3

[proven hornet]

okay let's reset

[proud zephyr]

Okkk okkkk

[proven hornet]

let's just focus our attention on the dotted line

[proud zephyr]

Ok I’m focusing on that

[proven hornet]

what is the equation of the dotted line

[proud zephyr]

X=3

Or is it y=3

[proven hornet]

good

however

it's not =

[proud zephyr]

Oh

[proven hornet]

because it's a dotted line

this is an inequality

[proud zephyr]

Is it x>3

[proven hornet]

think about it

is the shaded area to the left or right of the line

[proud zephyr]

Th e left

[proven hornet]

so would it be true if x was > 3

would that work

knowing where the shaded area is

[proud zephyr]

No I don’t think so

[proven hornet]

good

so what's the inequality sign we should use instead

[proud zephyr]

This one <

[proven hornet]

good

so we first have x < 3

now let's focus on the solid straight line

[proud zephyr]

Ok

[proven hornet]

when the line is solid, then its always (greater than/less than) or equal to

compared to when the line is dotted, then its just greater than/less than

[proud zephyr]

Oh ok

[proven hornet]

so now we need to find an equation of the solid line

straight lines follow the form y=mx+c

what is c

[proud zephyr]

Os it 5

[proven hornet]

good

so now we know:
y=mx+5

now we need the gradient

how do you think we could calculate the gradient?

[proud zephyr]

Do we get two points on the line and divide them

Change in y divided by change in x

[proven hornet]

yes

I have two methods for you

[proud zephyr]

Okk

[proven hornet]

would you like to use the formula y2-y1/x2-x1

or drawing on the diagram to find it

[proud zephyr]

Ummm I donr know what one do u think is better

[proven hornet]

since we have a graph, probably the graphical way

[proud zephyr]

Oh ok

[proven hornet]

do you know how to draw a gradient triangle?

[proud zephyr]

Can I try

[proven hornet]

sure

[proud zephyr]

Actyakly I just tried ans I have no idea

[proven hornet]

what did you try

[proven hornet]

I would've made it as big as possible but that works too

[proven hornet]

how much do you go down on the y-axis

[proud zephyr]

4

I think it hunk I think i think I thinkkkkkkkk

[proven hornet]

are you sure?

you go from 5 and go to 2

how much have you gone down by

what have you had to do to the 5 to go to 2

[proud zephyr]

-4

Waitttt NOOOO

-3

[proven hornet]

there you go

now use the same logic for the x-axis

[proud zephyr]

Is it 3

[proven hornet]

good

now do y/x

[proud zephyr]

Is itt -1

[proven hornet]

Well do you think it is?

is that a logical answer that makes sense

[proud zephyr]

Yes I hope

[proven hornet]

yes you're correct

[proud zephyr]

Ongggg yay

[proven hornet]

so, what is our second equation

write it out for me

[proud zephyr]

Y= -1x+5

[proven hornet]

you don't need the -1 btw

can just write y=-x+5

[proud zephyr]

Ohhh ok

[proven hornet]

now, consider the shaded area

and where it is

[proud zephyr]

It’s to its right

[proven hornet]

and decide the inequality sign we should use

[proud zephyr]

Is it > one

[proven hornet]

yes, but it's not just >

[proud zephyr]

Oh ye

The one with the line at the bottom of it

[proven hornet]

the line is solid

[proven hornet]

which is called...

[proud zephyr]

It is calledddddd

Greater than ir equal to

[proven hornet]

lovely

so our overall answer is:

y > or equal to -x + 5, x < 3

[proud zephyr]

Ye

Okmgggg thank u

So much I was sooo confused

[proven hornet]

nw just practice this

[proud zephyr]

I FINSIHED my sparx now all thanks to u

Ok I will

😁😁😁😁😁😁

[proven hornet]

sparx is the bane of my existence

[proud zephyr]

Same ommggggg

[proven hornet]

and I don't even do sparx

[proud zephyr]

Wow

[proven hornet]

yh