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1. x> -6

correct :)

how would i graph this

|dw:1435336629065:dw|

You could use: https://www.desmos.com/calculator

i mean on a number line sorry

it would be an open circle?

yes

Do you have a website for the number line?

essentially, you can use the website and only look at the x-axis

ok so closed

|dw:1435336897914:dw|
this has a dashed line so it means open circle

I drew an orange box around the dashed line.

alright i can graph the rest i just need help solving the rest

-2x +1 < -11 \[-2x +1 \le -11\]

for graphing it on a number line:
|dw:1435337002162:dw|

For #2, we would first take the +1 to the other side. So we have to subtract that on both sides.

so -12

-2x less than or equal to -12

now we have
\(\sf -2x\le -12\)

now devide -2?

divide*

Do you know that when you divide by a negative number on both sides that the sign flips

so it goes to
>?

or this

does it ever switch from \[\le \to \]

not showign up

without the line under it

no it can't

but this answer is x=6

x= 6

oh x > 6

no, it would be \(\sf\Large x\ge6\)

yeah thats i meant my b

could i also say greater than or equal to?

remember
these are the opposites:
\(\sf \le\) and \(\sf \ge\) are opposites
< and > are opposites

and this circle would be open?

nope closed

|dw:1435337698545:dw|

correct :)

10 < -3x + 1

-1 both sides

9 < -3x

oh alright

+3x both sides
3x + 10 < 1
3x < -9
x< -3

|dw:1435338193021:dw|

i might have made a mistake

Should i have flipped the sign?

splendid work, you made no mistakes :)

we only flip the sign when we divide by a negative number

oh alright

2(x + 5) > 8x – 8

2(x + 5) > 8x - 8

First we have to take care of
2(x+5)
distribute the 2 inside

2x + 10 > 8x - 8

-8x both sides
-6x + 10 > -8
-10 both sides
-6x> -18
divide -6 both sides
x < 3

|dw:1435338649893:dw|

wow, amazing work once again! :D

Thank you :)

-2(x - 3) > 5 - (x +3)

-2x + 6 > 5 -x - 3
@AbdullahM ?

amazing work! :D

no we can add the 2x to both sides and work from there :)

why te 2x?

+x both sides
-x + 6 > 5-3
-6 both sides
-x > -4
divide by -1
x < 4

not really a rtick, more like a rule xD

yeah :p i thought it' be easier

great work again :)

|dw:1435339061662:dw|

alright and i think i did my last graph wrong

|dw:1435339286981:dw|

open circle, not closed. and everything else is correct

@AbdullahM Thank you for the help! You are a great teacher :)

anytime, that's why I'm on OpenStudy to help.

That's all i need for today but i'll hit ya up if i need help another time, Have a good afternoon!

sure :)