Most likely, the TIFF was saved with an unsupported TIFF compression scheme. If you check the options when saving an image, you should have the ability to set the TIFF compression scheme (FAX-CCITT 3, Huffman, LZW compression, Packbits, Uncompressed, etc.). SolidWorks only supports TIFF files in Uncompressed, Packbits, or Group 4 FAX format. Resave it as a TIFF with the compression set to 'Uncompressed' or the other options, and this file should be able to be imported into SolidWorks as a background.
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