chapter 3

[dull prairie]

what does part d mean

[west willow]

for b, the line has y intercept -31/2 which is -15.5, not -16.5 btw

[dull prairie]

oh that was a mistake in writing my bad

thanks

[west willow]

np

ill check d

you can see from the graph that the line p(x) is below the curve q(x) when x<1 and when x>11/2

using set notation, you’d write this as:
{x: x<1} U {x: x>11/2} i believe

[dull prairie]

ohh

that makes more sense

alright thank you so much

[west willow]

no problem! happy to help

[dull prairie]

can you double check another question as well please lmao

[west willow]

sure

[dull prairie]

it doesnt intersect so i shouldnt equate but im not sure

is the left side working out enough for the awnser??

[west willow]

okay so

since they don’t intersect, it means that b^2 - 4ac < 0 i believe

p is a set of possible values not just a few values by the way

[dull prairie]

so would it be p<32/9

[west willow]

you solve 9p^2 - 20p + 8 = 0, then sketch the graph of 9p^2 - 20p + 8 < 0

[west willow]

i don’t think the left side is relevant but i’ll recheck

[dull prairie]

it says they dont intersect though

usually you equate

when they do

[west willow]

mhm

that’s true i’ll need to think a bit

[dull prairie]

alright no problem

[west willow]

i think it’s still helpful to find what the values of p would be where they intersect the realise if p is below that then they won’t intersect but let me graphically check rq

yeah i checked graphically and i was right so

you want to find the values of p for which 9p^2 - 20p + 8 < 0 is true

you do this by sketching the graph using the solutions for 9p^2 - 20p + 8 = 0 you calculated

[dull prairie]

so i sketch the grap with the two awnsers of +/-

[west willow]

yes

[dull prairie]

and then check where its below 0

[west willow]

yep

this graph of the functions for different values of p will help you understand your answer once you get it

[dull prairie]

so would the awnser be

• root < x < + root

[west willow]

yep

although it wants the set

so you’d just say

[dull prairie]

not x i meant p

set notation?

[west willow]

{p: - root<p< + root}

[dull prairie]

alright

[west willow]

yeah

[dull prairie]

that helps okay

thank you so much again