Question

Solve each inequality 8<2v-4<16

Answer 1

the idea is to isolate v

Answer 2

so we first add 4 to all sides

then we divide all sides by 2

Answer 3

Wait ill tey to answer

Answer 4

alright

Answer 5

6<v<10?

Answer 6

good, here are the steps if you're curious


\[\large 8 < 2v-4 < 16\]


\[\large 8+4 < 2v-4+4 < 16+4\]


\[\large 12 < 2v+0 < 20\]


\[\large 12 < 2v < 20\]


\[\large \frac{12}{2} < \frac{2v}{2} < \frac{20}{2}\]


\[\large 6 < \frac{1v}{1} < 10\]


\[\large 6 < 1v < 10\]


\[\large 6 < v < 10\]

Answer 7

I'm sure you did all that

Answer 8

Yeah im right. But i did not that 1 i just cancel it out

Answer 9

that's ok, I put more steps than needed really to be really technical

Answer 10

-7d <_4d-3<_-1

Answer 11

hint: use the idea that

x < y < z

breaks up into

x < y and y < z

Answer 12

How can i use that in this equation whats the y?

Answer 13

-7d <_4d-3<_-1

breaks up into

-7d <_4d-3 and 4d-3<_-1

Answer 14

solve each for d

Answer 15

I dnt know how to solve this one its complicated

Answer 16

give it a shot

Answer 17

tackle each one on its own

Answer 18

Ill try

Answer 19

d>_d<_-4?

Answer 20

hmm that seems off

Answer 21

Dnt know pls explain thnx :)

Answer 22

what do you get when you solve -7d <_4d-3

Answer 23

-d<d

Answer 24

hint:

-7d <_4d-3

-7d -4d <_ -3

Answer 25

d<_-3?

Answer 26

you're missing something on the left side

Answer 27

-3?

Answer 28

no -7d - 4d = ??

Answer 29

-11

Answer 30

How about the other side?

Answer 31

so we have -11d <_ -3

now divide both sides by -11 to isolate d, this will flip the inequality sign

Answer 32

<_ 3.66

Answer 33

>_ imean

Answer 34

leave it as a fraction

Answer 35

I got 3.6

Answer 36

leave it as a fraction to get

d >= 3/11

Answer 37

now solve the other piece

Answer 38

Ow i got >_ 2d

Answer 39

solve 4d-3<_-1 for d

Answer 40

Yeah i put 3 in both sides

Answer 41

Then the answer was divided into 4 so i got 2

Answer 42

2/4 is not 2 though

Answer 43

Why

Answer 44

4/2 = 2

not the other way around

Answer 45

4/2 = 2

2/4 = ???

Answer 46

.5

Answer 47

or 1/2

Answer 48

so d <= 1/2

Answer 49

so all together, we know this

d >= 3/11 and d <= 1/2

put together, the final answer is


\[\large \frac{3}{11} \le d \le \frac{1}{2}\]

Answer 50

So ill combine and thats the final asnwer

Answer 51

yes

Answer 52

This is the equation i cant understand

Answer 53

ok last one

Answer 54

6y-3<27 or -4y+2<-26 what ir means

Answer 55

you solve each inequality for y

so what do you get when you solve 6y-3<27

Answer 56

Hold on a sec

Answer 57

Y<5

Answer 58

good

Answer 59

solve -4y+2<-26 for y

Answer 60

Y<-6

Answer 61

no that's incorrect

Answer 62

7?

Answer 63

-7?

Answer 64

Is that right?

Answer 65

it should be y > 7

Answer 66

so after solving 6y-3<27 or -4y+2<-26 , we get this

y < 5 or y > 7

Answer 67

So thats the final answer?

Answer 68

yes

Answer 69

Thank you so much

Answer 70

you're welcome