Question

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)

Answer 1

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 ?

Answer 2

YES

Answer 3

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 ?

Answer 4

-9 is less than -8 so false

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

Understood

Answer 9

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

Answer 10

yes I'll try, just a sec

Answer 11

5>-8 which is true

Answer 12

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

Answer 13

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

Answer 14

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

Answer 15

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

Answer 16

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

Answer 17

-6>-8 is true

Answer 18

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

Answer 19

Thanks lol, Last one here I go

Answer 20

-10>-8 is false

Answer 21

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

Answer 22

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

Answer 23

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

Answer 24

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?

Answer 25

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

Answer 26

Thanks for helping

Answer 27

Which is the graph of y ≤ 1 – 3x?

Answer 28

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

Answer 29

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 :)

Answer 30

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

Answer 31

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

Answer 32

glad to help :) good luck

Answer 33

Thank you

Answer 34

:)