Question

Please help me to understand and solve these!

Answer 1

@mathmate can you able to help me with this?

Answer 2

DId you work out the solutions to each of the inequalities?

Answer 3

I didnt understand completely those problem, thats y

Answer 4

Solve them as equations, and since they are <, so you need any answer that is smaller the equality.

Answer 5

I cant really get it how to do it, but i did somehow, where i got half n half write. I need to understand whole n how to find the rite answer

Answer 6

The questions are all inequalities.
Say you solve the first one as an equality:
-2(1+z)+5z+5<11
-2-2z+4z+5<11
2z<11-3=8, or
z<4
So any of the answers will fit for #1.
Now proceed with #2, #3, #4
and try to move a,b,c,d around so that ALL the inequalities are satisfied.

Answer 7

cqn you wait, cuz i m gonna show you those.

Answer 8

First one will fit on which one, would it be 2

Answer 9

Because they are not equations, but inequalities, you are better of doing all 4 of them before fitting anything. For example, all the answers a,b,c,d will fit in the first. So you don't know which one to choose until you have all 4 inequalities solved.

Answer 10

Note: inequalities have multiple answers.

Answer 11

So but i want to how will i get this answer matching correct answer

Answer 12

Of all of them

Answer 13

Let say if you have a set of answers 1,3,5,7
and solutions to equations which are
x<2,x<6,x<8,x<4
Then your choice would be to fit 1<2, 5<6, 7<8,3<4, or else you would have one left over such as:
1<2,3<6,5<8, but 7>4 will not work.
That's why you need to work out all four before you can match.

Answer 14

Ok so, -2 (1 + z) +4z +5 <11

-2 + -2z + 4z + 5 <11
-2 + 2z + 5<11
so does it mean 2 will match or no?

Answer 15

You have to solve it completely,
-2+2z+5<11
2z+3<11
2z<8
z<4

Now you still have to solve the other three before you can start matching.

Answer 16

that 2 match with this one right?

Answer 17

All four answers will match with this one. If you want to take a chance, choose the highest number that will match. But I suggest you work out ALL 4 inequalities, then match. That will be much more sure.

Answer 18

all four will match, because
3<4
-3<4
2<4
0<4
. That is why I suggest you work out all four inequalities before matching.

Answer 19

All does not matched up, thats y, i m asking, how will i figure out all this

Answer 20

If you want, you can pick 2<4.
If you choose now, the rest may or may not work.

Answer 21

1. Solve all FOUR inequalities, so you have 4 inequalities in hand, such as
z<4
z< ?
z< ?
z< ?
2. Match the 4 given answers so that EVERY inequality works.

Answer 22

Second will be -3, am i right?

Answer 23

I'm afraid not. You have a problem with the sign.

Answer 24

...unless you mean -z>-3

Answer 25

I was saying according that table which i showed

Answer 26

So it suppose to match up with b -3

Answer 27

right?

Answer 28

Inequalities are not equations. Solutions must remain inequalities.
So the second one must be given in the form z<-3, or z>3, or z<3.
-3 would not be the solution to an inequality.
Can you show your work?

Answer 29

ok

Answer 30

3z - 5z +10 - 8 <6

Answer 31

3z - 5z +10 - 8 does not look right. Can you check?

Answer 32

2z + 10 - 8 <6

so if this be 2, then other was not 2

Answer 33

I cant really know how to do these all

Answer 34

Problems seems really confusing to me

Answer 35

3z - 5z +10 - 8 <6
is inorrect. it should be +5z and -10. How did you get the signs reversed?

Answer 36

Or written in full
3z+5z-10-8<6

Answer 37

so your saying it would match up with 3, right?

Answer 38

Thats how we find the 3

Answer 39

You are going to far with matching.
You need to solve ALL 4 inequalities before you can match.
the answer to the second is then....?

Answer 40

I mean the \(solution\) to the second inequality is then....?

Answer 41

I dont get at all how to last four, thats y i put their answer by guess, i m sure those last two were wrong but there is two matching which i gave, it was correct

Answer 42

If you don't need all four correct, that's ok. Go ahead and do it your way. I have no problem with that. Good luck with your guesses. :)

Answer 43

In mathematics, you are allowed to guess, but you also need a way to check your answer. If you cannot do both, then, sorry, guessing is not the right way.

Answer 44

Thank you but all i wanted to know how to solve these, i havent done all by guess just two one which mite, but um not sure abt how to solve it to find exact answer to match. I just want to be clear abt all this

Answer 45

I m not getting to find all of it exact answer

Answer 46

I repeat:
1. Solve ALL four inequalities in the form
z<4
z<3
z< ?
z< /
2. THEN match the inequalities with the 4 given answers to make sure ALL inequalities are satisfied.

I am still waiting for the solution to the second inequality after I have done the first one.
If you have problems solving inequalities, that's where you need to work on.

Answer 47

3z - 10 + 5z - 8 <6

3z + 5z + 10 - 8 <6

8z + 2<6

Answer 48

8z + 2 - 2 <6
8z <6

Answer 49

it will be a 0?

Answer 50

No

Answer 51

Please help!

Answer 52

I dont understand how to solve all this

Answer 53

@CalebBeavers help me please

Answer 54

@phi

Answer 55

Thank you so much for helping tolerating pain like me, i m sorry so for trouble. I really appreciate your help @mathmate, thanks alot! :)

Answer 56

This one @experimentX

Answer 57

first of all simplify the left side. Can you simplify
\[ -2(1+z) + 4z + 5\]

Answer 58

-2z + -2z + 4z +5

4z +4z +5

8z +5

Answer 59

isnt it?

Answer 60

nope!!

Answer 61

\[ -2(1+z) = (-2) \times 1 + (-2) \times z = ?\]

Answer 62

-2 +2z = -2 (-2) X z =

-2 + 2z = -4 X z

I m stuck :( sorry

Answer 63

-2

Answer 64

\[ -2 \times z = ?\]

Answer 65

-2z

Answer 66

-2 + (-2z)= ?

Answer 67

4z?

Answer 68

no ... you cannot add like that.