Question

absolute value
2 | x + 4| > 16

I have to show all work

Answer 1

@kittycat123 Hi can you help?

Answer 2

first we will need to isolate the absolute value do you know how to do that?

Answer 3

16 - 4 ?

Answer 4

and the 2 is included into the equation

Answer 5

@dan815 can you help?

Answer 6

yes the 2 is showing as multiplying into the absolute value but we will not do that to idsolate the absolute value we need to divide 16 by 2 and 2 by itself to cancel it on the left side

Answer 7

Oh I thought you were offline @KlOwNlOvE

Answer 8

it may be my connection or the site may be acting up again but after we divide by 2 the equation will be
|x+4|>8

Answer 9

there are two equations for this can you find them?

Answer 10

huh wait i thought you subtracts 4 on both sides to isolate the varible

Answer 11

when and where do I divide 2?

Answer 12

thats to isolate the x value to isolate the absolute value we do the reciprocal of all operations that are on the same side but outside of the absolute value

Answer 13

ohh

Answer 14

The first thing we will be doing for this equation is divide both sides by 2 the 2 will cancel out and 16 will go down to 8

Answer 15

I see now

Answer 16

Can you find the two equations?

Answer 17

so x>4 ?

Answer 18

that will be one x value now we need the other

Answer 19

we make 16 a negative 16

Answer 20

the 8 will become a negative 8 for the second equation

Answer 21

and do the whole equation over with that negative 16

Answer 22

the 16 was divided by 2

Answer 23

right

Answer 24

|x+4|>8 will have two equations
x+4>8
and
x+4>-8

Answer 25

we already have the solution for first equation
x>4
now we need to isolate x for the second one

Answer 26

x>-12

Answer 27

yes :)

Answer 28

How would I write the two x values out? like if i was to show my work?

Answer 29

You would need to go all the way to the first step to show yur work where we divided by 2 then explain the two seperate equations
the two solutions are
x>4
x>-12

Answer 30

3 |x| = 6 is this one just x=2 ? or x=2 , x=-2 ? and okay I get it :)

Answer 31

your second answer is correct absolute values usually have 2 solutions

Answer 32

okay thanks so much for your help :)

Answer 33

you're welcome :)