Question

Solve for x: 4 - (x + 2) < -3(x + 4)
can some one help me plz ? ^^

Answer 1

Hello and welcome to Openstudy! :)

solve for x as you would for a normal equation
4 - (x + 2) < -3(x + 4) so first distribute the -3
4 - (x + 2) < -3x - 12 then distribute the -
4 - x - 2 < -3x - 12 add like terms.
-x + 2 < -3x - 12 then you can add 3x to both sides
+3x +3x
2x + 2 < -12 subtract 2 from both sides
then divide both sides by 2

Answer 2

thank you

Answer 3

glad I could help :)

Answer 4

:D i m such a lost person hahaha

Answer 5

no worries :) many people are when it comes to math :P
practice makes perfect ^.^

Answer 6

It's not done though.

Answer 7

indeed

Answer 8

I gave the last two steps that you need to do in order to get the answer.
once you do them, tell me what you get ay?

Answer 9

lost it lol

Answer 10

I expected that.

Answer 11

2x + 2 < -12 subtract 2 from both sides
then divide both sides by 2

Answer 12

:( what?

Answer 13

alright :)
let's start from
4 - (x + 2) < -3(x + 4)

do you know how to distribute -3(x+4) = ?

Answer 14

-3X+12

Answer 15

be careful! :) there's a negative attached to the 3 that carries through
so -3(x+4) = (-3)(x) + (-3)(4) = -3x - 12
get it? :)

Answer 16

X<-7

Answer 17

yep :)

Answer 18

^^ CAN YOU HELP ME WITH ANOTHER ONE?

Answer 19

sure :)

Answer 20

Solve for x: -3x + 3 < 6

Answer 21

subtract 3 from both sides
then divide both sides by negative 3
^ for this part don't for get to flip the sign (from < to >)
because when you multiply or divide by a negative number
then sign flips.

Answer 22

x<-1

Answer 23

don't forget to flip the sign from < to >

Answer 24

ahhhh ty

Answer 25

you're welcome :)

Answer 26

Eduardo solved the following inequality and his work is shown below:

-5(x + 4) + 21 ≥ -3 + 4(x - 8)

-5x - 20 + 21 ≥ -3 + 4x - 32

-5x + 1 ≥ 4x - 35

-9x ≥ -36

x ≥ 1

What mistake did Eduardo make in solving the inequality?
Select one:
a. When dividing by -9, he did not change the ≥ to ≤.
b. He subtracted 4x from both sides when he should have added 5x.
c. He subtracted 1 from both sides when he should have added 36.
d. He did not make a mistake.

Answer 27

it was the same mistake you had made in the previous problem :)
when you multiply or divide by a negative number, the sign changes

Answer 28

ohhh so its A

Answer 29

yep :)

Answer 30

A bag of chips costs $3.79 including tax. Mr. Connor wants to purchase chips for his class and has a $15 budget. Write an inequality to solve for the number of bags of chips Mr. Connor can purchase with his budget.
Select one:
a. $15x ≥ $3.79
b. $15x ≤ $3.79
c. $3.79x ≥ $15
d. $3.79x ≤ $15

Answer 31

so it is $3.79 per bag of chips right?
"per" means multiplying
and if you replace "bag of chips" as "x"
you would get "3.79x" alright? :)

Answer 32

then at most they can spend $15
so the value that they have has to be less than 15
"less than" = <

Answer 33

$3.79x ≥ $15

Answer 34

ohhhhh

Answer 35

so its D

Answer 36

correct! :)

Answer 37

your like awesome lol i m sorry if i asking to many questions

Answer 38

it's alright ;)
I'm here because I like answering questions :P
but there's this "Best Response" button over there -->
It really encourages the helpers on this site to keep working for free xD

Answer 39

Evelyn has $524.96 in her checking account. She must maintain a $500 balance to avoid a fee. She wrote a check for $32.50 today. Write and solve an inequality to solve for the least amount of money she needs to deposit to avoid a fee.
Select one:
a. 524.96 - 32.50 + x ≥ 500; x ≥ $7.54
b. 524.96 - 32.50 + x ≤ 500; x ≤ $7.54
c. 524.96 + 32.50 - x ≥ 500; x ≥ $57.46
d. 524.96 + 32.50 - x ≤ 500; x ≤ $57.46

Answer 40

ohhh ok i will haha-clicks it like a boss-

Answer 41

"she must maintain a $500 balance"
so her value has to be greater than 500
"greater than" = >

Answer 42

"wrote a check"
would be subtracting money from her account
so "- 32.50"

Answer 43

ohh

Answer 44

its A

Answer 45

yep :)

Answer 46

whoooo hooo

Answer 47

well thank you very much for helping these poor person here hehehe my name is Luxy by the way

Answer 48

Glad to I could help :) my name's Emily

Answer 49

aww cute name

Answer 50

thanks :) I like yours too :D

Answer 51

:D

Answer 52

if you ever need help on anymore questions you can tag them by putting a "@" in front of their name :)
like @NatashaMoon

Answer 53

do u have facebook?

Answer 54

yes I do, but I would prefer to not share it :P
if you want to contact me outside of this site
my email is jigglypuff314@gmail.com

Answer 55

i m not raper lolzzz i just like new friends but ok ^-^ i ma put it down

Answer 56

if you like making new friends and socializing, there's a chat box in the bottom right corner of the screen :)

Answer 57

i know i saw it O_O they sure talk fast mhm

Answer 58

indeed lol

Answer 59

Solve for x: 3(x + 1) = -2(x - 1) + 6.

Answer 60

3(x + 1) = -2(x - 1) + 6 distribute the 3
3x + 3 = -2(x - 1) + 6 distribute the negative 2
3x + 3 = -2x + 1 + 6 add like terms
3x + 3 = -2x + 7 add 2x to both sides
subtract 3 from both sides
divide both sides by 5
it should end up as a decimal or fraction :)

Answer 61

thanx :D

Answer 62

A store offers a 15% discount on all items in the store during a sale. All store employees get an additional 10% employee discount. In the equation below, C represents the cost of an item for an employee including tax, and x represents the original price of the item.

C = 0.765x + 0.06(0.765x)

Chris is an employee at the store. He plans to buy a coat during the sale. The price of the coat before the discount is $100. How much will Chris pay for the coat during the sale?

Answer 63

so you would plug in 100 for x
0.765(100) + (0.06)(0.765)(100) =

Answer 64

so u add 0.765 to 100 ?

Answer 65

when parenthesizes are next to each other like that, it means multiplication.

Answer 66

so i multipli (100)+(0.06)?

Answer 67

then do the same for the other?

Answer 68

yep :)

Answer 69

so for the first one i got 6 fotr the other 76.5

Answer 70

hmm... close. :)
0.765 times(100) = 76.5
(0.06)times(0.765)times(100) = 4.59
then add the two numbers :)

Answer 71

81.09?

Answer 72

yep :)

Answer 73

so that is the answer?

Answer 74

yup :)

Answer 75

cool

Answer 76

ty

Answer 77

I've got to go now... Have a Nice day! and I'll see ya around :)

Answer 78

thank you for helping ^^