Question

Solve the inequality and graph the solution.
2(y+7)≤6

Answer 1

brake it apart

Answer 2

ok so 2y+7

Answer 3

so like a first step divide both sides by 2

Answer 4

2 divide by 7 and 2 divided by 6?

Answer 5

no

both sides by 2 so

\[\frac{ 2(y+7) }{ 2 } <= \frac{ 6 }{ 2 }\]

Answer 6

oh

Answer 7

simplifie and what will get ?

Answer 8

y=4.5+3?

Answer 9

no

in the left part simplifie 2 by 2 and what remain there ?

Answer 10

1

Answer 11

1y+7?

Answer 12

yes but this is just y+7

ok ?

and in the other side ?

Answer 13

y+7=3?

Answer 14

not equal

y+7 <= 3

Answer 15

oh ok then

Answer 16

and now how you isolate the y in the left part ? what you need to do ?

Answer 17

so 3-7

Answer 18

y<4?

Answer 19

yes subtract 7 from both sides and will get what ?

Answer 20

4

Answer 21

so in this way in the left part remain y

yes

but in the right part 3-7 = ?

Answer 22

-4?

Answer 23

yes -4

but between left part and right part not is equal sign

Answer 24

y<-4 so the sign flips?

Answer 25

not is true bc. not is just <

Answer 26

oh ok

Answer 27

so how will get

y ?

Answer 28

1 divided by -4?

Answer 29

Leila pls you wrote above that y<-4 but there are two signs < and =

so how will be y ?

Answer 30

so y < -4 but the inequlity sing?

Answer 31

Leila please check it again you missed from there a sign bc. y is smaller and equal

or not ?

Answer 32

ok

Answer 33

so how will be ?

Answer 34

y>-4?

Answer 35

not really

y is smaller and equal -4

so y <= -4

how will graph this ?

Answer 36

so a closed point on -4 going to the <

Answer 37

yes closed point on -4 what mean that y can get the value of -4

and going to where ?

Answer 38

to the left side

Answer 39

till the end of so what mean this mathematical ? in math words

Answer 40

negative side

Answer 41

have you heard about infinity ?

Answer 42

yes

Answer 43

so than how will be in the left part what infinity ?

Answer 44

wait I'm confused

Answer 45

there are two infinity yes ? minus in the left part and plus on the right part

in this your problem what will be ?

Answer 46

-?

Answer 47

yes of corse

courage pls

Answer 48

so what values can get y ?

Answer 49

only negative past -4 or -4

Answer 50

y <= -4

so this mean that y can get values from -4 ,inclusive -4 till minus infinity

ok ?

Answer 51

ok

Answer 52

questions ?

Answer 53

No and thank you

Answer 54

ok was my pleasure and anytime

bye bye

Answer 55

bye