jchick
  • jchick
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
Mathematics
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jamiebookeater
  • jamiebookeater
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jchick
  • jchick
I just need help coming up with the examples I am not sure what to do for that
jchick
  • 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
  • jchick
That is how I would explain it but how should I show examples?

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jchick
  • jchick
Wow thank you
anonymous
  • anonymous
@k142 That is not a very nice thing to say.
jchick
  • jchick
@k142 you do not have to be a jerk about it I am a student and I am trying to learn
anonymous
  • anonymous
I told my opinion about that.
anonymous
  • anonymous
Okay, let's start with the inequality –x + 3 > 7
jchick
  • jchick
I came on here for help not for criticism
jchick
  • jchick
Thank you @heretohelpalways
anonymous
  • anonymous
instead of getting rid of the x, cancel out the 3 by subtracting 3 from both sides
anonymous
  • anonymous
to get −x>4
anonymous
  • anonymous
then divide both sides by -1
anonymous
  • anonymous
to get x<−4
jchick
  • jchick
Ok hang on a sec
anonymous
  • anonymous
you are supposed to get x by itself, instead of getting rid of it
anonymous
  • anonymous
let's try another inequality
jchick
  • 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
  • jchick
Am I correct up until adding x on the first step
jchick
  • jchick
The answer is correct though right?
anonymous
  • anonymous
this might help: http://math.stackexchange.com/questions/94790/why-do-we-reverse-inequality-sign-when-dividing-by-negative-number
jchick
  • jchick
Wait please help me
anonymous
  • anonymous
okay , don't worry.I am still here
jchick
  • jchick
Does that explanation at least look right?
anonymous
  • anonymous
Wouldn't adding x to -x cancel out the variable
anonymous
  • anonymous
the main question/point is "Why must you flip the inequality symbol when you divide by a negative number?"
jchick
  • 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
  • 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
  • jchick
Ok so I am confused by what I read?
anonymous
  • anonymous
this also might help you understand the question: http://mathforum.org/library/drmath/view/53287.html
jchick
  • jchick
Ok
anonymous
  • anonymous
Now I am getting confused. I'll tag some people @Skielerlucas04
anonymous
  • anonymous
unless you understand it now?
anonymous
  • anonymous
@Michele_Laino
jchick
  • 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
  • jchick
But what about dividing it?
jchick
  • 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
  • anonymous
So now explain that inside of your paragraph while explaining how to solve the inequality
jchick
  • 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
  • jchick
How is that?
jchick
  • jchick
But I still lack the examples

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