Question

An inequality is shown:

−np − 4 ≤ 2(c − 3)

Which of the following solves for n?

n ≤ the quantity 2 times c minus 2 all over negative p
n ≤ the quantity 2 times c minus 10 all over negative p
n ≥ the quantity 2 times c minus 2 all over negative p
n ≥ the quantity 2 times c minus 10 all over negative p

Answer 1

am i right with C?

Answer 2

i dont really know tbh

Answer 3

@tetsxpreme

Answer 4

does it matter if the p's are all negative or not?

Answer 5

because i saw some questions online and the p's didnt have the negative

Answer 6

The P is positive im pretty sure

Answer 7

ohh...

Answer 8

so that means im wrong

Answer 9

maybe

Answer 10

tbh idrk this one

Answer 11

samee, i rlly just guessed

Answer 12

@ihelpuuhelpme

Answer 13

aiii @tranquility have any idea what the answer might be

Answer 14

The first thing I would do is to distribute the 2 on the left side and then add 4 on both sides.

What do you get once you've done that?

Answer 15

When you're dealing with inequalities, you can treat it as an equal sign except when you're dividing by a negative number, that's when the sign flips

But otherwise, the sign just remains the same so think of it as an equal sign for now

−np − 4 = 2(c − 3)

When you distribute 2 into (c-3), what do you get?

a(b-c) = ab - ac

Answer 16

so 2 times c which is 2c

Answer 17

and what is 2 times 3

Answer 18

6

Answer 19

2c - 6?

Answer 20

so

2(c - 3) is equal to

2*c - 2*3

Yes!

Answer 21

We now have

−np − 4 = 2c - 6

What do you get when you add 4 to both sides?

Answer 22

- 10 = 2c - 10

Answer 23

ohh wait

Answer 24

just 2c - 10

Answer 25

mb

Answer 26

so i now know it could be the last option

Answer 27

?

Answer 28

no, you're doing 4 to -6

Answer 29

ohhh so its not - 10?

Answer 30

No... what is

-6 + 4 = ?

You can even use a calculator

Answer 31

oh then c right

Answer 32

hold on

Answer 33

-2

Answer 34

We haven't gotten that far yet

Answer 35

wait

Answer 36

i mean b and d

Answer 37

can be eliminated

Answer 38

You confused me there for a second but yes B and D

Answer 39

ok so now...?

Answer 40

Now remember when I said this

when you're dividing by a negative number, that's when the sign flips

so > would become <
and < would become >

Answer 41

Right now we have

−np ≤ 2c -2

We want to divide both sides by negative p

since we're dividing by something negative, that means you have to flip the sign

Answer 42

oh easy the final answer is C

Answer 43

You got it

Answer 44

ok so it really doesnt matter is the p is negative or not in this problem

Answer 45

whether the p*

Answer 46

P is just a variable

We divided it by -1*p

Answer 47

ohh alr makes sense

Answer 48

Just dividing it by p would not have flipped the sign. You would then be left with -n and we want to get n all by itself. So you would have to divide by -1 and flip the sign

Answer 49

thanks so much btw

Answer 50

You're welcome!