Question

solve...-21le3x-4le-3

Answer 1

sorry i didnt know how to make the less than equal to sign in the room

Answer 2

\[21\le3x-4\le-3\]

Answer 3

21≤3x−4≤−3
\[25\le3x\le1\]
\[25/3\ge x\ge 1/3\]

Answer 4

Dividing flips the signs.

Answer 5

dividing with negative flips

Answer 6

It doesn't work the other way.

Answer 7

ok im confused lol

Answer 8

i do think that the signs are flipped correct?

Answer 9

A_clan is correct my last step should have the opposite signs. The result is not true, unless I'm missing something.

Answer 10

@A_clan, thanks for pointing that out.

Answer 11

The correct eqn
25/3 <= x <= 1/3
solution
(-infinity, 1/3] U [25/3, infinity)

Answer 12

so if i put this in set notation what would it be
\[\left\{ x \left|25 \right| \right\}\]

Answer 13

ok i messed that up

Answer 14

@ A_clan That's an empty set though.

Answer 15

its union

Answer 16

so does everyone understand that if we have 3>2 then this inequality still holds if we divide both sides by 2
3/2>2/2

Answer 17

wait for the set they give me to fill in it looks like this \[\left\{ x \left| ?lex \le? \right| \right\}\]

Answer 18

I think ive lost myself lol

Answer 19

the signs are going like this\[\le\]

Answer 20

@ A_clan: your right sorry. @ myininaya, Yes(at least i do). @tena32, sorry for my mistakes and the confusion they have caused.

Answer 21

if we divide by -2 then inequality flips
we have 3>2
3/(-2)<2/(-2)

Answer 22

thats ok, I make mistakes as well

Answer 23

@ myinanaya: we were dividing by positive 3

Answer 24

im trying to show yall how the solution set is set up but the equation thing isnt working for me

Answer 25

solution in set-builder form:
{x | x belongs to REAL Number, x>= 25/3 and x<= 1/3}

Answer 26

i was trying to give an example of when to flip the inequality sign

Answer 27

@myininaya thanks

Answer 28

use appropriate symbol for "belongs to" and "Real Number" in set-builder form

Answer 29

\[\left\{ x \left| -2\le x \le-2 \right| \right\}\]

Answer 30

ok finally. is this how is is?

Answer 31

{\[x|x \in \mathbb{R} , x \ge 25/3 \cup x \le 1/3\]}

Answer 32

kd8cpk gave the correct notation for your answer

Answer 33

ok i dont know if i have gotten yall confused but in the answer key they gave me the symbols are both \[\le\] they look like they didnt change the symbol. or am i just confused

Answer 34

look at my 3rd post up. that is they way they have it set up for me to fill in my answer.

Answer 35

25/3 <= x <= 1/3
you can also use this notation in your solution for conformity with the answer key.
We gave you the other one, because it was easier for understanding

Answer 36

ok so 25/3 and 1/3 are the fractions

Answer 37

yes

Answer 38

i got ya now. thanks!