Question

Solve the equation |k+7|=3

Answer 1

okay well now take off the absolute value now that it is already isolated and treat it like if it was a normal equation. try it :)

Answer 2

k+7= 3 and k+7=-3

solve now

Answer 3

just like @paki said

Answer 4

to find out put both the negative and positive forms to see if it is valid/true or false

Answer 5

OH okay so, if I subtract 7 from there that'll give me -4 right?

Answer 6

yup -4.... and what about the other equation...

Answer 7

That one is -10 i think.

Answer 8

good :)

Answer 9

yeah -10 is rite...

Answer 10

So the over all answer is

(-10,-4) right?

Answer 11

you are genius @SparkyTheWolf

Answer 12

so it is -10 and-4 :)

Answer 13

i agree @paki

Answer 14

Okay I understand =-3, but I have others that I need help on also sadly =-(

Answer 15

post here...

Answer 16

go ahead close this question first

Answer 17

openstudy really doesn't allow many questions in one post, im only enforcing the law but if you dont want to its fine im nice

Answer 18

yup agree

Answer 19

4-3|n+2|>1

Which conjunction or dis junction evaluate the open sentence?

Answer 20

Oh...I really don't know how...I'm kinda new to this

Answer 21

hey @paki how are you answer 50 mil questions at a time i just realized right now. SO COOL

Answer 22

oh easy you know how where it says answer a question and then you posted it underneath it, it says close and bump just click close

Answer 23

Oh...I'll close it after we solve this one if that is alright.

Answer 24

3 at the same time

Answer 25

@paki

Answer 26

um, can you help me with my other question?

Answer 27

yeah

Answer 28

well what is a junction or dis junction do you know what it is

Answer 29

Disjunction, it made me put a space between the two.

Answer 30

4-3|n+2|>1
1 | n+2 | >1
|n+2|>1/1
|n+2|>1 solve now

Answer 31

well A "logical disjunction" simply means : " or " so;
"A ∨ B " is read as "A or B ". Such a disjunction is false if both A and B are false.
So, the result would be true if one or more operands are true.
It would only be false if both or all it's operands are false.

A "logical conjunction" simply means "and" so;
the symbol is an inverted "v"
" A (inverted v) B " are read as " A and B " . The conjunction would only be true if and only if both operands are true, otherwise it would be false.

okay:
properties under the conjunctions are:

1. "Associativity": the order of operations does not matter as long as the sequence of the operands is not changed. Eventhough parenthesis are changed, operands will still act the same.
ex: (5+1) +5 = 5+ (1+5)

2. "Commutativity": to the ability to change the order of something without changing the end result.
ex: 3 + 5 = 5 + 3 for addition; 5*3 = 3*5 for multiplication

3. "Distributivity": uses the "dristibutive law"
ex: 5( 2 + 3) = (5*2) + (5*3)

4. "Idempotence": multiple applications of that operation will yield the same result.
unary operations:
- the absolute value operation is a unary operation on the real numbers
- the opposite operation (-x) on the real numbers
- the power operations (squaring, cubing, etc) on the real numbers
- the factorial operation on the real numbers
- the trigonometric functions (sin x, cos x, tan x, cot x, csc x, sec x) on the real numbers
- the natural logarithm (ln x) on the real numbers
- the logarithm of base 10 (log x) on the real numbers
- logical negation on truth values

These are examples of unary operations, and could be subject to "Idempotence"

5. "Monotonic" - actually these are used mostly for calculus..

Answer 32

but @paki just simpled it out hehe all that writing

Answer 33

|n+2|>1

Okay so I subtract 2 with 1 and got negative -1.

Answer 34

|n|=-1?

Answer 35

yes and that means that the absolute value must be bigger than the -2

Answer 36

i mean -1

Answer 37

it can't really equal remember it is an inequality

Answer 38

Okay so it'll look like this
|n|>-1

Answer 39

or
n+2>-1

Answer 40

well actually its better n+2>-1

Answer 41

Okay, that all I needed help on =-3 thanks