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# Writing two-variable inequalities word problem

Sal solves a word problem about scores in a chess tournament by creating a two-variable linear inequality.

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• I knew that there would eventually be a chess question, but I didn't think it would mention Fabi. Magnus Carlsen, Levon Aronian, and Hikaru Nakamura better be used too. : )
• I don't understand why we swap a sign when dividing both side by negative value? I know this is a rule but how I can derive it?
• By trial and error: If -x≥5, 0 does not work (0≥5), 5 does not work (-5≥5), but -5 does work (-(-5)≥5), -4 does not work (-(-4))≥5 or 4≥4), -6 and more will all work, so x≤-5.
Second way, if -x≥5, I can add x to both sides to get 0≥x+5, subtract 5 to get -5≥x. Flipping this around gives -x≤-5.
• this dont make no sense my ahh acting like i understand whats going on
• So, if he gets 1/2 point for a draw, why is it written 0.5d? Would one draw give him the half point he needs?

Why isn't the inequality written W+D≥6.5?
• If you use your version of the inequality, it means that every draw is worth 1 point, not 1/2. So, you would get the wrong results.
• This didn't help me with my problem.
Stacy's mom is baking treats for Stacy's birthday party. She has 9 eggs to use for this purpose. A batch of cookies requires 1 egg and a batch of brownies requires 2 eggs.
Write an inequality and shade the area to represent the solution.

Im stumped!
• Let cookies be on the y axis and brownies be on the x. The maximum number of cookie batches is 9, so graph (0,9), the theoretical maximum for brownies is 4.5, so plot (4.5,0) - I say theoretically because the most brownie batches will be 4. Connect these two points, and put dots on any pair of whole numbers below this line. While shading can be done, it is hard to assume that you could make partial batches rather than whole batches and I would also assume you are going to use as many eggs as possible.
(1 vote)
• How do I help my daughter with this: Suppose s and t are two numbers and that s>t. Determine whether each inequality must be true.
A. s + 15 > t + 15
• If s is always Greater Than (>) t, than we can use that info to plug in for those two, so let's use s=6 and t=5, so 6 > 5. (6) + 15 > (5) + 15, so it is true.