Question

I really need help with algebra!



Which of the following is the solution set of -2|x| < -8

{x | -4 > x > 4}
{x | -4 < x < 4}
{x | x < -4 or x > 4}

Answer 1

Simplify
\[-2|x| < -8\]
by dividing both sides by -2
(remember to reveres the direction of inequality, because we are dividing by a negative )

Answer 2

so -2 divided by -8 is 2 then what

Answer 3

im mean 4 sorry

Answer 4

so >4

Answer 5

not quite, try that again

Answer 6

I really dont get it what do you mean divide both sides by two when i do that i get -1 and -4

Answer 7

thats better

\[−2|x|<−8\\
−2|x|/-2<−8/-2\\
|x|>4\]

Answer 8

\(\large {
-2|x| < -8\implies |x|{\color{red}{ >}}\cfrac{\cancel{ -8 }}{\cancel{ -2 }}\to 4
\\ \quad \\
|x|>4\to
\begin{cases}
+(x)>4\to &?\\
-(x)>4\to &?
\end{cases}
}\)

Answer 9

so is the answer number 1

Answer 10

1?

Answer 11

so is the answer the first option of the multiple choice

Answer 12

\(\large |x|>4\to
\begin{cases}
+(x)>4\to &x>4\\
-(x)>4\to &x{\color{red}{ <}}-4
\end{cases}\implies -4>x>4\)
yes

Answer 13

no

Answer 14

then what is it??

Answer 15

@jdoe0001 was soooo close. Right up until the end.

Answer 16

well.... hmmm one could say, "or" conjunction I gather

Answer 17

think about the direction of those equality statements

Answer 18

ohh so its the third one

Answer 19

hmmm I don't see anything wrong heheh
other than using "or" or not
but someone knows, so that's good :)

Answer 20

-4>x>4

what does this supposed to mean?

x is less than negative four, And greater that positive 4?

impossible

Answer 21

so was i right

Answer 22

hmmmm depending on the scenario addressed... "x" can be less than a negative value and also greater than a positive one too

Answer 23

Yes. We want to illustrate that the solution is the set of numbers:

Answer 24

there are no number that are negative And positive And greater in magnitude than four

Answer 25

the solution set has two branches

Answer 26

ooh ok i get it know =)) thx for your help