Question

Which of the following is a soltution for 4m - 5 > -9 or 4m - 5 < 3?


m > -9 or m < 3

m > -1 or m < 1/2

All Real Numbers

No Solution

Answer 1

@ajprincess plzz help

Answer 2

4m - 5 > -9
Can u solve for m? @charlieberzak

Answer 3

m being what?

Answer 4

@ajprincess???

Answer 5

do u see a m in the inequalty
4m-5>-9

Answer 6

yes

Answer 7

u have to solve for that m.

Answer 8

yea, but I don't understand how to do that...

Answer 9

ok.
solving for m means on side of the inequality only m should be there. k?

Answer 10

ookkaayy

Answer 11

nw we have
4m-5>-9
as u can see m is nt alone. to make it alone we have to remove all those numbers joinedd to it.
5 is subtracted from 4m. if we r to remove that 5 we have to perform the opposite operation which is addition. that means u have to add 5 to it to remove -5. k?

Answer 12

im so of gettin now :)

Answer 13

sort*

Answer 14

so which part didnt u understand?

Answer 15

i mean, thats all i have to do?

Answer 16

lol i hate math, it messes with my mind to much

Answer 17

but wouldn't 4 - 5 = -1 which would lead to -1m?

Answer 18

@jim_thompson5910 plzz help lol im stuck

Answer 19

its -1<m<2

Answer 20

you cannot combine 4m and -5 to get -1 or -1m

Answer 21

cause interval notation (-1,2)

Answer 22

oh, but then how do i solve this question?

Answer 23

i just said it lol

Answer 24

haha i see but im still a little confused

Answer 25

you need to isolate m in 4m - 5 > -9

Answer 26

ok so then what?

Answer 27

what do you get when you do that

Answer 28

isolate it? ummm 4 - 5 > -9

Answer 29

is that right?

Answer 30

no, in 4m - 5 > -9, we want to get m all by itself on one side

Answer 31

so you need to move that -5 over first

Answer 32

you do this by adding 5 to both sides

4m - 5 > -9

4m - 5+5 > -9+5

4m + 0 > -4

4m > -4

what's next?

Answer 33

m

Answer 34

?

Answer 35

ok what about m

Answer 36

well m comes next because 4-4 is 0 so the only thing that is left is m

Answer 37

i am so lost in this subject :/

Answer 38

If I told you that 4m = -4, what must be the value of m

Answer 39

1?

Answer 40

nooo

Answer 41

its well -8?

Answer 42

4 times SOMETHING = -4...

what is that SOMETHING

Answer 43

4*-8 = -4

Answer 44

4 times -8 is -4 ?

Answer 45

that what is says in the calculator....

Answer 46

time to get a new calculator then...

4 times -8 is -32

I think you meant to say 4 plus -8 = -4

Answer 47

o right lol

Answer 48

so what goes in the blank

4*______ = -4

Answer 49

omg -1???

Answer 50

no

Answer 51

whatever

Answer 52

i will never get this stupid math

Answer 53

yes it's -1 since 4 times -1 = -4

Answer 54

how did you get -1

Answer 55

i figured it out cause 4*1 equals 4 so it must be the same with the -

Answer 56

So basically a guess and check?

A much quicker way to do it is to divide both sides by 4

4m = -4

4m/4 = -4/4

1m = -1

m = -1

Answer 57

ohhhh now i see

Answer 58

so the answer to this question would be m > -9??

Answer 59

no because 4m = -4 leads to m = -1

4m > -4 leads to m > -1

Answer 60

you divide both sides by 4 to isolate m to go from 4m > -4 to m > -1

Keep in mind that the sign flips if you're dividing both sides by a negative number (that's not the case here, but keep it in mind)

Answer 61

so putting everything together, we get this

4m - 5 > -9

4m - 5+5 > -9+5

4m + 0 > -4

4m > -4

4m/4 > -4/4

1m > -1

m > -1

Answer 62

you need to do the same for the other inequality

Answer 63

so you need to solve 4m - 5 < 3 for m

Answer 64

so i + 5 again and add 5 to 3?

Answer 65

4m - 5+5 < 3 +5

Answer 66

good, what's next

Answer 67

change the signs?

Answer 68

what do you mean

Answer 69

4m + 0 < 8

Answer 70

good and the +0 goes away leaving you with 4m < 8

Answer 71

yes

Answer 72

if 4m < 8

then m < ....

Answer 73

hmmm

Answer 74

i dont really know

Answer 75

think of it as an equation

Answer 76

if 4m = 8, then m = ??

Answer 77

4

Answer 78

4 times 4 = 8 ?

Answer 79

no, i was think + so its 2

Answer 80

replace m with the value you think it is and see if it's true

4m = 8

4*4 = 8

16 = 8 ...false

so m = 4 isn't the solution

Answer 81

i was thinking +

so its 2

cause 4*2 = 8

Answer 82

yes m = 2 is the solution since

4m = 8

4*2 = 8 ... replace m with 2 (since m = 2)

8 = 8 ... true

Answer 83

so because m = 2 is a solution to 4m = 8

the solution to 4m < 8 is m < 2

see how it's analogous to solving equations?

Answer 84

yea :)

Answer 85

so we found...

4m - 5 > -9

turning into

m > -1


and

4m - 5 < 3

turning into

m < 2

----------------

essentially

4m - 5 > -9 or 4m - 5 < 3

turns into

m > -1 or m < 2

Answer 86

wow, ur a great teacher

Answer 87

thanks, so what did you get for the final answer?

Answer 88

well, im still trying to figure it out... because the answers are


m > -9 or m < 3

m > -1 or m < 1/2

All Real Numbers

No Solution

Answer 89

draw out a number line if you're not sure

Answer 90

and do the proper graphs/shadings

Answer 91

i think it b? am i right?

Answer 92

no

Answer 93

aww

Answer 94

i was thinking that

Answer 95

first off b has m < 1/2, not m < 2

but you can think of m > -1 or m < 2 as something else

Answer 96

did you try the number line graph

Answer 97

all real numbers? well because they are -1 and 2?