Question

What are the solutions of the compound inequality? Graph the solutions.
–2 < 4x – 10 < 6

A. 4 < x < 12

B. -3 < x < -1

C. –16 < x < –8

D. 2 < x < 4

Answer 1

well you can start out by adding 10 to the -2, (4x-10), and the 6

Answer 2

ok My Daughter has been on these three problems for like 6 hrs and I don't remember any of this I suck at Math I need help

Answer 3

\[–2 < 4x – 10 < 6 \] you want to get \(x\), which is in the middle, by itself in the middle, without the \(4x-10\) just \(x\)
add \(10\) all the way across as a first step

Answer 4

you get
\[-2+10<4x<6+10\] or
\[8<4x<16\] now you have gotten rid of the \(-10\)

Answer 5

next step is to divide everything by \(4\) to get \(x\) alone
dividing by 4 all the way across gives
\[2<x<4\] and that is the answer

Answer 6

this is like greek to me I feel so old
Thanks so much
I would really love to save you as a friend because she has 3 more I can't help her and she is getting ready for a big test 8th grade is not the same geesh

Answer 7

go ahead and ask another, i will be happy to answer

Answer 8

What are the solutions of the inequality? Graph the solutions.

b – 4 > 4

A. b >0


B. b > 8


C. b > –8


D. b < –8

Answer 9

to get \(b\) by itself you need to add \(4\) to both sides of the inequality

Answer 10

\(b-4>4\) add \(4\) to both sides and get \[b>8\]

Answer 11

wow you are fast

Answer 12

if you have to draw a picture it looks like this

Answer 13

oh ok

Answer 14

I have another

Answer 15

okay

Answer 16

What compound inequality represents the phrase? Graph the solutions.

all real numbers that are greater than –8 and less than 8

A. –8 < x < 8


B. –8 < x < 8


C. –8 < x 8


D. –8 x 8

Answer 17

greater than \(-8\) and less that \(8\) means
\[-8<x<8\]

Answer 18

looks like your answer A and B are the same, maybe it is a typo

Answer 19

how do you do this so fast?

Answer 20

it is not really "doing" it is more just "knowing"
like putting on a seatbelt, you know how to do it

Answer 21

I am trying its not coming back so fast!! lol I guess I just an old lady.

Answer 22

What are the solutions of the equation? Graph and check the solutions.

| x | + 10 = 1

A. x = 9


B. x = 9 or x = –9


C. x = 0


D. no solution

Answer 23

if you don't use it, you will forget for sure

Answer 24

\[|x|+10=1\] is not possible because if you subtract \(10\) from both sides you get
\[|x|=-9\] but the absolute value is always greater than or equal to zero, so it cannot be \(-9\)
there is no solution

Answer 25

You have two boxes of colored pens. The first box contains a red pen, a blue pen, and green pen. The second box contains a yellow pen, a red pen, and a black pen. What is the set that represents all the pens?

A. {red pen, blue pen, green pen}

B. {red pen}

C. {red pen, red pen, green pen, yellow pen, black pen}

D. {red pen, blue pen, green pen, yellow pen, black pen}

Answer 26

is this a trick question

Answer 27

i guess so
in set notation you do not repeat things, put only one of each

Answer 28

Oh Im sorry

Answer 29

thanks so much!!!!

Answer 30

no i didn't mean to be critical i was answering the question
when you write in set notation you don't repeat elements, so you would not write {red pen, red pen, green pen, yellow pen, black pen}

Answer 31

you would write instead
D. {red pen, blue pen, green pen, yellow pen, black pen}

Answer 32

yw

Answer 33

What is the graph of the function rule?

y = 3x - 2