Question

Which of the following is an equivalent form of the compound inequality −44 > −2x − 8 ≥ −8?

−2x − 8 > −44 and −2x − 8 ≥ −8
−2x > −44 and −8 ≥ −8
−2x − 8 < −44 and −2x − 8 ≤ −8
−2x − 8 < −44 and −2x − 8 ≥ −8

Answer 1

@Vocaloid

Answer 2

ok, so the idea of this is that you want to separate the line of inequalities
in a way so you get only one inequality per equation

Answer 3

-44 > -2x - 8 ≥ −8?
^^^^^^^^^^^^ you take these

so
-44 > -2x - 8

do you see how I got that piece?

Answer 4

yes

i have another question

Which of the following is not a way to represent the solution of the inequality 3(2x − 1) greater than or equal to 4(2x − 3) − 3?

x less than or equal to 6
6 greater than or equal to x
A number line with a closed circle on 6 and shading to the left
A number line with a closed circle on 6 and shading to the right

Answer 5

This one you would have to solve completely

try solving it like you would a normal "equals" equation

Answer 6

c?

Answer 7

hmm I think there are two answers to this question?

Answer 8

there cant b .. only 1

Answer 9

ohhh I was thinking about the answer, but the question was asking for which is "NOT" a way to express the thing

Answer 10

YES... hehe

Answer 11

This is c

Answer 12

take a look at the other answers and compare them to that picture?

Answer 13

ok so c is not right?

Answer 14

no, I don't think C is right
try seeing what the other options look like

Answer 15

ok A?

Answer 16

A: x is less than or equal to 6
what would this look like
would it be shaded to the Left or Right of 6?

Answer 17

umm left i think

Answer 18

so that would look the same as C right?

Answer 19

right omg b! i think

Answer 20

B: 6 is greater than or equal to x
that would be something like 6 > x
x < 6

which side of 6 would this be shaded on? Left or Right?

Answer 21

i beleive ohhh right!

Answer 22

???
how would you graph
x < 6
?
"6 is greater than x"
is the same as
"x is less than 6"

Answer 23

oh sorry i meant left

Answer 24

so that leaves us with d? :)

Answer 25

yup

Answer 26

Which of the following is not a way to represent the solution of the inequality 3(2x − 1) greater than or equal to 4(2x − 3) − 3?

x less than or equal to 6
6 greater than or equal to x
A number line with a closed circle on 6 and shading to the left
A number line with a closed circle on 6 and shading to the right

Answer 27

that was the problem we were just on?

Answer 28

oh yea sorry

Answer 29

The length of a rectangle is 24 units. Can the perimeter x of the rectangle be 60 units when its width y is 11 units?

No, the rectangle cannot have x = 60 and y = 11 because x = 48 + 2y
No, the rectangle cannot have x = 60 and y = 11 because x = 24 + 2y
Yes, the rectangle can have x = 60 and y = 11 because x + y is greater than 48
Yes, the rectangle can have x = 60 and y = 11 because x + y is greater than 24

Answer 30

so the Perimeter of a rectangle = (Length) + (Length) + (Width) + (Width)

if the Length = 24
and the Width = 11

does 60 = 24 + 24 + 11 + 11 ??

Answer 31

you want me to solve that?

Answer 32

yes
what is 24 + 24 + 11 + 11

but do you know where I got the numbers?

Answer 33

70

Answer 34

do you know where I got the numbers?

Answer 35

not really

Answer 36

Here's an easier example:
can you tell me what the perimeter of this rectangle is?

Answer 37

5

Answer 38

Do you know what the word "perimeter" means?

Answer 39

no

Answer 40

The perimeter is the total length of the outside of a shape

If someone had to walk around a building, how far would they have to walk?

Answer 41

In this case, the amount they would have to walk would be 5 + 2 + 5 + 2

does that make sense?

Answer 42

yes

Answer 43

So if I asked you
What is the perimeter of (the picture)?

Answer 44

What would you get?

Answer 45

14??

Answer 46

Yup! :D

Answer 47

AND THEN

Answer 48

IS THE ANSWER a?

Answer 49

70

Answer 50

The question is then asking if
does 60 = 70 ?

Answer 51

no

Answer 52

The length of a rectangle is 24 units. Can the perimeter x of the rectangle be 60 units when its width y is 11 units?

No, the rectangle cannot have x = 60 and y = 11 because x = 48 + 2y
No, the rectangle cannot have x = 60 and y = 11 because x = 24 + 2y
Yes, the rectangle can have x = 60 and y = 11 because x + y is greater than 48
Yes, the rectangle can have x = 60 and y = 11 because x + y is greater than 24

so is the answer A?

Answer 53

yup!

Answer 54

OK NEXT!
can you answer faster.. i need to finish these questions asap

Which of the following is not a way to represent the solution of the inequality 2(x − 1) less than or equal to 10?

x less than or equal to 6
6 greater than or equal to x
A number line with a closed circle on 6 and shading to the left
A number line with a closed circle on 6 and shading to the right

Answer 55

and this is a different problem they are similar but the numbers are different

Answer 56

I need to go, could you ask it in a different post and get someone else to help?

Answer 57

please wait just answer this one you dont have to explain it

Answer 58

2(x − 1) less than or equal to 10
2x - 2 less than or equal to 10
2x less than or equal to 12
x less than or equal to 6

which one is NOT equal to that?

Answer 59

ummmmm b?

Answer 60

think of the > or < as it wants to eat the bigger one

so
x < 6
is the same as
6 > x

Answer 61

so A?

Answer 62

A: means x < 6

Answer 63

oh right.... and its not b you saidm so c

Answer 64

x < 6 is C

Answer 65

so d as well?

Answer 66

yup .-.

Answer 67

hehee

Answer 68

Choose the missing step in the given solution to the inequality −x − 10 > 14 + 2x.

−x − 10 > 14 + 2x

−3x −10 > 14

_______________

x < −8

−3x > 24
−3x < 4
−3x > −4
8 < x

Answer 69

please take the time to talk to your teacher about getting extra explanations. I feel like you don't truly understand how to answer these questions

Answer 70

I need to go

Answer 71

ok i will :)

Answer 72

oh ok... :( thanks for helping me