Two cents:
1st ¢ You can skip Inkscape and open the PDF directly with GIMP. When asked, set the resolution to something high: 300 or 600 dpi, strong antialiasing everywhere and grayscale. You can then crop and resize the image in GIMP.
2nd ¢ If you know some LaTeX, it may be better to create the initial PDF with pdflatex.
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