Which ordered pairs are solutions to the inequality x + 3y ≥ –8?
Choose all answers that are correct.
A.(–5, –1)
B.(0, –3)
C.(–1, –2)
D.(–6, 0)
E.(–16, 2)

- freemap

- katieb

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- texaschic101

this is just a matter of subbing and seeing which ones are true.
Lets try the first one...
x + 3y >= -8
(-5,-1)....x = -5 and y = -1
now we sub
-5 + 3(-1) >= -8
-5 - 3 >= -8
-8 >= -8 --- correct because -8 = -8
so this is a solution.
You want to try the next one ?

- freemap

YES

- texaschic101

x + 3y >= -8
(0,-3)...x = 0 and y = -3
now we sub
0 + 3(-3) >= -8
can you finish and see if it is true ?

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## More answers

- freemap

-9 is less than -8 so false

- texaschic101

wait...your sign is greater then or equal
It is saying -9 is greater then or equal to -8....so it is false

- freemap

sorry just looked at sign so it'll still be false because -9 is not greater than -8

- texaschic101

keep this in mind....with positive numbers, the bigger the number, the greater it is...but with negatives, the smaller number is greater

- freemap

Understood

- texaschic101

want to try the next one because the 2nd one is not a solution

- freemap

yes I'll try, just a sec

- freemap

5>-8 which is true

- texaschic101

x + 3y >= -8...x = -1 and y = -2
-1 + 3(-2) >= -8
-1 - 6 >= -8
-7 >= -8......this is true

- freemap

I was just about to submit -7>=-8 which is true.
Instead of me multiplying 3 *-2 I did 3*2

- texaschic101

lol...be careful of your signs....they can mess with you every time

- freemap

Every single time lol, about to work out the next one

- texaschic101

ok...you know how to do this..you have proven that...now let see what you can do :)

- freemap

-6>-8 is true

- texaschic101

correct ^^ I told you that you could do this...great job

- freemap

Thanks lol, Last one here I go

- freemap

-10>-8 is false

- texaschic101

you did it again...correct....woot woot...doing the happy dance now :)

- freemap

lol Me to Celebration time, Thanks so much means so much that you'd stay even though I'm slow.
I wish I could be like you just work problems out in a second without help. Thankssss

- texaschic101

it takes practice and patience. You will one day be helping others learn this stuff.
So your solutions are A,C,D because B and E were false....but you already knew this so why am I telling you...lol

- freemap

lol I'm so happy. Thank you so much.
I have one more question I think its A, its a graph though uggh! would you help, I'll post again?

- texaschic101

you can post on this post....but I can't make any promises about knowing the answer....graphs are not my friend...lol

- freemap

Thanks for helping

- freemap

Which is the graph of y ≤ 1 – 3x?

- freemap

I said A because it has a solid line, and its less than so it goes to the left

- texaschic101

y = -3x + 1 --- I just rearranged it and temporarily removed the < sign
y intercept is 1 or (0,1)
x intercept can be found by subbing in 0 for y..
0 = -3x + 1
3x = 1
x = 1/3 ... or (1/3,0)
now back to your signs....it contains an equal sign, so it is a solid line.
It is < (less then) so shading occurs below (or to the left) of the line.
the correct graph is : A...you are correct :)

- texaschic101

it takes me a little longer with graphs...lol

- freemap

Never a problem, Thanks you're a hero. I'm going to take what you taught and apply to my other ones. Have a great night. I always like getting help from you, so great at explaining complicated things. Thanks so so much

- texaschic101

glad to help :) good luck

- freemap

Thank you

- texaschic101

:)

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