Question

Solve each inequality. Then graph the solution set on a number line. Help me pls! M-8>-12

Answer 1

how would you solve for M

Answer 2

I dont have an idea

Answer 3

we want to move that -8 over

so what can we do to both sides to do that?

Answer 4

Put the 8 on both sides?

Answer 5

subtract 8 from both sides?

or

add 8 to both sides?

Answer 6

Subtract?

Answer 7

-8 minus 8 = -16


but notice how -8 + 8 = 0

Answer 8

so this means you must add 8 to both sides

Answer 9

Wait im trying to gigure it out

Answer 10

sorry

Answer 11

just saw that message

Answer 12

Can you msg it again I'm little confused about it

Answer 13

M-8>-12

M-8+8 > -12+8 ... Add 8 to both sides.

M + 0 > -4

M > -4

hopefully all that makes sense

Answer 14

again, the reason why we add 8 to both sides is because -8+8 = 0 and that will go away on the left side

Answer 15

12+8?

Answer 16

it's -12+8

Answer 17

Oh yeah sorry didnt see negative sign

Answer 18

that's ok

Answer 19

I get it thanks but how about the graph solution

Answer 20

to graph M > -4 you

step 1) draw out a number line

step 2) plot an open circle at -4 (it's open because there isn't a line under the > sign)

step 3) shade to the right of the open circle
you shade to the right because of the greater than sign

Answer 21

I dont get it can you draw?

Answer 22

which step doesn't make sense

Answer 23

Okay nevermind. 6r<-36 my answer is r<-30 am i right?

Answer 24

6r means 6 times r

Answer 25

how do you undo multiplication?

Answer 26

Idk

Answer 27

Why r is times? I dont get it

Answer 28

that's what 6r means, it means 6 times r

Answer 29

So its 0

Answer 30

Then -36^6

Answer 31

what operation is the opposite of multiplication

Answer 32

Divide so i get -6

Answer 33

R>-6?

Answer 34

why did you flip the sign

Answer 35

the inequality sign

Answer 36

Oh yeah didnt see it

Answer 37

What if the case is like this -w denominator is 4 <_ cant insert it -7

Answer 38

what undoes division?

Answer 39

Multiplication?

Answer 40

good, so you multiply both sides by -4

Answer 41

Did you get my question?

Answer 42

yes you have to multiply both sides by -4

Answer 43

I got 16 and 28 what is next?

Answer 44

-1/4 times -4 is not 16

Answer 45

How to use that 1/4 inncalculator?

Answer 46

what is 1/4 in decimal form

Answer 47

.25

Answer 48

multiply that by 4

Answer 49

-16?

Answer 50

Its 16

Answer 51

0.25 times 4 = ??

Answer 52

1 or -1

Answer 53

it's 1

Answer 54

Then

Answer 55

this means -w/4 <= -7 turns into 1w >= 28

Answer 56

so the final answer is \[\large w \ge 28\]

Answer 57

Ohh you can cancel the one

Answer 58

Why the inequality signed change?

Answer 59

when you multiply both sides by a negative number, the inequality sign flips

Answer 60

Just multiply?

Answer 61

and divide

Answer 62

Oh tnx

Answer 63

I really suck at math :(

Answer 64

that's ok, just keep at it and you'll get better

Answer 65

4x-15<_21 what does it mean if the inquality sign has sign at the bottom?

Answer 66

it means that there's an "or equal to" part to it

Answer 67

So see ifnim right ill mltiply the 4 and the x and ill put the 4 on both sides

Answer 68

first you add 15 to both sides (to undo the -15)

then you divide both sides by 4 (to undo the 4 times x)

Answer 69

Ill put 15 and 4 to 21? -.-

Answer 70

Cancel the 15

Answer 71

\[\large 4x - 15 \le 21\]


\[\large 4x - 15+15 \le 21+15\]


\[\large 4x + 0 \le 36\]


\[\large 4x \le 36\]


\[\large \frac{4x}{4} \le \frac{36}{4}\]


\[\large \frac{1x}{1} \le \frac{36}{4}\]


\[\large 1x \le \frac{36}{4}\]


\[\large x \le \frac{36}{4}\]


\[\large x \le 9\]

Answer 72

Woah every setting change you really need to memorize it

Answer 73

Thanks i learned a lot from you ijust have one question on this number

Answer 74

-16>_5(2z-11) ill times the 5 to the 2 and 11 right do i still need to bring down the 5 after I times it?

Answer 75

\[\large -16 \ge 5(2z-11)\]


\[\large -16 \ge 5*2z-5*11\]


\[\large -16 \ge 10z-55\]


I'll let you finish

Answer 76

Thats what i did yeah

Answer 77

Z>29 am i right?

Answer 78

no that's incorrect

Answer 79

-61 or -144

Answer 80

first you add 55 to both sides

Answer 81

Why and then

Answer 82

what do you get when you add 55 to both sides

Answer 83

-7.1

Answer 84

no

Answer 85

Aw i really dnt know

Answer 86

\[\large -16 \ge 5(2z-11)\]


\[\large -16 \ge 5*2z-5*11\]


\[\large -16 \ge 10z-55\]


\[\large -16+55 \ge 10z\]


\[\large 39 \ge 10z\]


I'll let you finish

Answer 87

Z>49

Answer 88

no

Answer 89

10z means 10 times z

Answer 90

So z<39

Answer 91

that's also incorrect

Answer 92

39>z

Answer 93

divide both sides by 10

Answer 94

Z<3.9

Answer 95

good

Answer 96

Finally what does this mean define a variable and write an inequalityfor each problem

Answer 97

Example the quotientof three times anumber and 4 is at least -16

Answer 98

tell me what you got so far