Question

Which of the following is not a way to represent the solution of the inequality 3(2x - 1) greater than or equal to 4(2x - 3) - 3?

x less than or equal to 6

6 greater than or equal to x

A number line with a closed circle on 6 and shading to the left.

A number line with a closed circle on 6 and shading to the right

Answer 1

help please

Answer 2

6*x - 3 >= 8*x - 15

Answer 3

12 >= 2*x

Answer 4

6 >= x

Answer 5

No, the last choice is correct

Answer 6

Tell us why...

Answer 7

it would be c

Answer 8

http://answers.yahoo.com/question/index?qid=20101020102521AAJJWCZ :)

Answer 9

wait how is it c?

Answer 10

dont give the girl wron answers @cblrtopas its annoying

Answer 11

ok hold on lol

Answer 12

It's not wrong

Answer 13

ok....

Answer 14

could you both explain how you got the answer?

Answer 15

I simplified both sides of the inequality until I had x on one side and numbers on the other

Answer 16

well, your inequality looks like
$$
3(2x - 1) \ge 4(2x - 3) - 3 \implies
6x-3 \ge 8x-15
$$

Answer 17

The only answer that is not the right way to represent the solution is shaded circle at 6 with shading to the right...

Answer 18

now
if you were to solve -> 6x-3 = 8x - 15
for "x"
what would you get?

Answer 19

I.e. the last response

Answer 20

i woud get -2x=-12?

Answer 21

right, and x = 6, right?

Answer 22

yes

Answer 23

x is less than or equal to 6

Answer 24

ok, in an inequality is the same procedure, with the only difference that, when you multiply or divide or exponentialize by a negative number, like you just did now, you have to \(\color{red}{flip}\) the sign

Answer 25

yes i remember that u have to flip the sign

Answer 26

$$
3(2x - 1) \ge 4(2x - 3) - 3 \implies
6x-3 \ge 8x-15\\
-2x \ge -12 \implies x \le 6
$$

Answer 27

so the answer would be the last choice?

Answer 28

???

Answer 29

see the solid line? see the shading?

Answer 30

yes

Answer 31

so, that's the \(x \le 6\)

Answer 32

ok

Answer 33

so wait im confused whats the answer

Answer 34

well, let's see the possible choices
$$
\text{ A number line with a closed circle on 6 and shading to the} \color{red}{\text{ left}}\\
\\
\text{ A number line with a closed circle on 6 and shading to the} \color{red}{\text{ right}}
$$

so, which one do you think?

Answer 35

the second one?

Answer 36

yes

Answer 37

its to the left but gl with that

Answer 38

ok the solution to the inequality is: x are all numbers less than or equal to the number 6....

Your question asks for what is the opposite of the solution to the inequality...essentially.

The opposite of x <= 6 is of course x >= 6

and the statement: "A number line with a closed circle at 6 and shading to the right."