help with 2 questions?

Question

anonymous · Answer

attachment

anonymous · Answer

:T

anonymous · Answer

k, so for the first question you posted, find the two possibilities

anonymous · Answer

@heretohelpalways either B or D

anonymous · Answer

you know the circles would be filled in

anonymous · Answer

and there are two possibilities

anonymous · Answer

that should help

anonymous · Answer

I am not going to tell you which one is right, though

anonymous · Answer

try solving the inequalities

anonymous · Answer

alright brb

anonymous · Answer

2x−6≥10 and 2x−6≤−10

anonymous · Answer

now, solve those equations

anonymous · Answer

if you don't know how, then go to https://www.khanacademy.org/math/algebra/linear_inequalities

anonymous · Answer

x greater or equal than 8 for the first one?

anonymous · Answer

@heretohelpalways i got the first one. could you help me with the second one pls?

misty1212 · Answer

HI

misty1212 · Answer

i will give you the answer to the second one on the condition that you tell me exactly where this question came from
it is written by someone who does not know math

anonymous · Answer

@misty1212 hey. its from my virtual course, written by teachers. and are you sure?!

misty1212 · Answer

yes i am sure, but i need to know exactly what course

misty1212 · Answer

i can walk you through to the answer step by step, and show you what the mistake is

anonymous · Answer

FLVS

misty1212 · Answer

how did i guess
can you please provide me with the question id number
they need some serious help down in florida

anonymous · Answer

i am afraid there is no question id visible, how can i find it?

misty1212 · Answer

just give me the unit number 
it is number 13 i can see, but i am not sure what course, unit number etc

anonymous · Answer

oh ok 5.14 segment one exam part 1. its the algebra 1 course.

misty1212 · Answer

ok lets solve it and find the mistake
ready?

anonymous · Answer

yes, and i am emailing my teacher as we speak letting her know.

misty1212 · Answer

$$-np-3\geq 7(c-4)$$ distribute on the right 
$$-np-3\geq 7x-28$$ is the first step

misty1212 · Answer

add $3$ to both sides 
$$-np\geq 7c-25$$

misty1212 · Answer

now here comes the mistake 
you have to divide both sides by $-p$ to solve for $n$

misty1212 · Answer

so it might be 
$$n\geq -\frac{7c-25}{p}$$ or $$n\leq -\frac{7c-25}{p}$$ they want you to choose the second one because if you divide by a negative number you have to change the inequality
BUT

misty1212 · Answer

you do not know whether $-p$ is positive or negative
they want you to think it is negative because of the minus sign, but there is no way of knowing whether $-p$ is a positive number or a negative number 
it is a serious error

misty1212 · Answer

the poor misguided folks at FLVS make this mistake all the time, because apparently they do not understand variables 
for example, if $p=5$ then $-5=-5$ and is negative 
BUT 
if $p=-5$ then $-p=+5$ and it is positive

misty1212 · Answer

long and the short of it is, you cannot solve an inequality with variable coefficients
sorry about the state of education in your area

anonymous · Answer

its ok lol, thank you so much for telling me how it was not written correctly i really appreciate it. may i show you one more question i already have an answer but i just want to make sure it is right. @misty1212

misty1212 · Answer

if you do not feel like rocking the boat , just choose $$n\leq -\frac{7c-25}{p}$$ but i hope you understand that you cannot solve this question

misty1212 · Answer

yeah sure

anonymous · Answer

its ok. i would had taken your word for it even if you wouldn't had explained lol and here it is

misty1212 · Answer

hold on one secnnd

anonymous · Answer

alright

misty1212 · Answer

your selected answer is wrong
it should be 
$$3x+y=-7$$ if you substitute you will see it works for both points

anonymous · Answer

@misty1212 thank you so much for your time!

misty1212 · Answer

yw

misty1212 · Answer

$$\color\magenta\heartsuit$$