Changeset 140 for docs/trunk/omega-test-slides/omega-test.tex
- Timestamp:
- Dec 31, 2007, 1:49:19 AM (18 years ago)
- Author:
- neil.c.c.brown
- Message:
-
Made the bounding pairs slide clearer
- File:
-
- 1 edited
- docs/trunk/omega-test-slides/omega-test.tex (modified) (1 diff)
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docs/trunk/omega-test-slides/omega-test.tex
r139 r140 432 432 \includegraphics[width=100mm]{Omega-Test-Number-Line-2.png} 433 433 434 $a\beta \leq abx \leq b\alpha$ 434 \[ a\beta \leq abx \leq b\alpha \] 435 435 436 436 We can eliminate $x$ ($a\beta \leq b\alpha$) but there may be solutions to that but not the original. 437 Consider 7ドル \leq 3x$ and 5ドルx \leq 14$; 35ドル \leq 42$ has a solution! 437 438 \begin{itemize} 439 \item Consider 7ドル \leq 3x$ and 5ドルx \leq 14$ 440 \begin{itemize} 441 \item 35ドル \leq 15x \leq 42$~\cross 442 \item 35ドル \leq 42$~\tick 443 \end{itemize} 444 \end{itemize} 438 445 439 446 \note{Bear in mind we are looking for integer solutions to $x$.
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