I need help with making examples I don't know what to do for that.
You must create a lesson that teaches another student how to solve the following inequality: –x + 3 > 7.
Your main mission for this activity is to provide a detailed answer to the question below.
Why must you flip the inequality symbol when you divide by a negative number?
You know that if the symbol is not flipped you will end up with a false statement, but why is that so? Research and brainstorm (with your partner if you chose to do this collaboratively) to come up with this answer. Remember, you are teaching this to another student, so you must include detailed explanations, visuals, and at least two additional examples. You may submit your lesson in a word document, power point presentation, use audio/video tools, etc.
In order to solve –x + 3 > 7 you would first want to add x to both sides which would give you 3 > 7 + x. Then you would subtract 7 from both sides, doing that should give you the final product of -4 > x. The only thing you want to be careful of is when you multiply or divide by a negative number. However you can avoid this making sure the coefficient of the variable is positive. That is why we added x on the first step. You could have started by subtracting 3 to both sides and getting –x > 4 but then you would have to change the sign to get x so you have to change the inequality as well and ge

- jchick

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- jchick

I just need help coming up with the examples I am not sure what to do for that

- jchick

In order to solve –x + 3 > 7 you would first want to add x to both sides which would give you 3 > 7 + x. Then you would subtract 7 from both sides, doing that should give you the final product of -4 > x. The only thing you want to be careful of is when you multiply or divide by a negative number. However you can avoid this making sure the coefficient of the variable is positive. That is why we added x on the first step. You could have started by subtracting 3 to both sides and getting –x > 4 but then you would have to change the sign to get x so you have to change the inequality as well and get x < -4. So the answer is X < -4.

- jchick

That is how I would explain it but how should I show examples?

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## More answers

- jchick

Wow thank you

- anonymous

@k142 That is not a very nice thing to say.

- jchick

@k142 you do not have to be a jerk about it I am a student and I am trying to learn

- anonymous

I told my opinion about that.

- anonymous

Okay, let's start with the inequality –x + 3 > 7

- jchick

I came on here for help not for criticism

- jchick

Thank you @heretohelpalways

- anonymous

instead of getting rid of the x, cancel out the 3 by subtracting 3 from both sides

- anonymous

to get −x>4

- anonymous

then divide both sides by -1

- anonymous

to get x<−4

- jchick

Ok hang on a sec

- anonymous

you are supposed to get x by itself, instead of getting rid of it

- anonymous

let's try another inequality

- jchick

In order to solve –x + 3 > 7 you would first want to subtract 3 from both sides which would give you -x > 4. Then you would divide both sides by -1. By doing that should give you the final product of x < -4. The only thing you want to be careful of is when you multiply or divide by a negative number. However you can avoid this making sure the coefficient of the variable is positive. That is why we added x on the first step. You could have started by subtracting 3 to both sides and getting –x > 4 but then you would have to change the sign to get x so you have to change the inequality as well and get x < -4. So the answer is X < -4.

- jchick

Am I correct up until adding x on the first step

- jchick

The answer is correct though right?

- anonymous

this might help: http://math.stackexchange.com/questions/94790/why-do-we-reverse-inequality-sign-when-dividing-by-negative-number

- jchick

Wait please help me

- anonymous

okay , don't worry.I am still here

- jchick

Does that explanation at least look right?

- anonymous

Wouldn't adding x to -x cancel out the variable

- anonymous

the main question/point is "Why must you flip the inequality symbol when you divide by a negative number?"

- jchick

In order to solve –x + 3 > 7 you would first want to subtract 3 from both sides which would give you -x > 4. Then you would divide both sides by -1. By doing that should give you the final product of x < -4. The only thing you want to be careful of is when you multiply or divide by a negative number. However you can avoid this making sure the coefficient of the variable is positive. We started by subtracting 3 from both sides and got –x > 4 then you have to change the sign to get x < -4. So the answer is x < -4.

- anonymous

so try answering " Why must you flip the inequality symbol when you divide by a negative number?" Then, explain that question in your paragraph, instead of telling them how to avoid the situation

- jchick

Ok so I am confused by what I read?

- anonymous

this also might help you understand the question: http://mathforum.org/library/drmath/view/53287.html

- jchick

Ok

- anonymous

Now I am getting confused. I'll tag some people @Skielerlucas04

- anonymous

unless you understand it now?

- anonymous

@Michele_Laino

- jchick

Multiplying it by -1 is like reversing gravity, so that things fall
up, and the heavier object is now pulled more strongly up rather than
down. If you do that, the scale will reverse:

- jchick

But what about dividing it?

- jchick

@heretohelpalways The inequality sign changes because you are switching the signs of the values in the inequality. So you must flip the inequality sign as well. Once all values become negative, that means that negatives are flipped from one side to the other (or abolished, if both sides were negative). If the sign is not flipped, it makes the solution a whole different range of numbers, because it changes the inequality.

- anonymous

So now explain that inside of your paragraph while explaining how to solve the inequality

- jchick

In order to solve –x + 3 > 7 you would first subtract 3 from both sides which would give you -x > 4. Then you would divide both sides by -1. By doing that should give you the final product of x < -4. The only thing you want to be careful of is when you multiply or divide by a negative number. Multiplying or dividing it by -1 is like reversing gravity, so that things fall up, and the heavier object is now pulled more strongly up rather than down. If you do that, the scale will reverse. The inequality sign changes because you are switching the signs of the values in the inequality. So you must flip the inequality sign as well. Once all values become negative, that means that negatives are flipped from one side to the other (or cancelled out, if both sides were negative). If the sign is not flipped, it makes the solution a whole different range of numbers, because it changes the inequality. However you can avoid this making sure the coefficient of the variable is positive. We started by subtracting 3 from both sides and got –x > 4 then you have to change the sign to get x < -4. So the answer is x < -4.

- jchick

How is that?

- jchick

But I still lack the examples

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