Question

HELP, PLEASE.
3(x-2)≤1/3 solve inequality

Answer 1

this is an "and" case
we can set up a 3 part inequality

Answer 2

I am confused what you did there. Did you divide 1/3 to both sides?

Answer 3

correct divide 3 by both sides

Answer 4

what did you get

Answer 5

3(x-2)/3 <=1/3 /3
Would I distribute first and then divide or just divide the whole thing?

Answer 6

You distribute first

Answer 7

I was thinkingg about absolute value sorry

Answer 8

3x-6<=1/3

Answer 9

add 6

Answer 10

To both sides?

Answer 11

or divide by 3

Answer 12

3x<= 6 1/3

Answer 13

yes what you do to one side you do to the other

Answer 14

Then I would divide by three?

Answer 15

6+1/3
18/3 +1/3
19/3

Answer 16

3x<== 19/3
x<== 19/9

Answer 17

i got x 19/9

Answer 18

Did you turn it into an improper fraction? I am unsure how you got 18/3 + 1/3

Answer 19

* x==>19/9

Answer 20

yes i turned 6 into an improper fraction

Answer 21

6= 18/3

Answer 22

Okay so 19/3 <= X?

Answer 23

Yes

Answer 24

x has to bes less than or equal to 19/9

Answer 25

you forgot to divide it by 3

Answer 26

Right, I was about to mention.

Answer 27

So we have 3x => 6 1/3 divided by 3?

Answer 28

so we get
x==> 2 1/9

Answer 29

2 1/9 = 19/9

Answer 30

Right, so X<= 19/9 or 2 1/9

Answer 31

no x==> 19/9

we did not divide by a negative to change the sign

Answer 32

So X is greater than or equal to 19/9?

Answer 33

\[x \le 19/9\]

Answer 34

less than

Answer 35

or equal to

Answer 36

Okay, thanks a lot for walking me through it.

Answer 37

no worries

Answer 38

Could you help me verify my solution to using some of the numbers from the solution set?

Answer 39

so it has to be less than 2 1/9 lets try 0 since its the easiest

Answer 40

f(0) = 3(0-2)≤1/3
3(-2) ≤1/3
-6≤1/3
its checks out

Answer 41

Awesome, thanks!