What do you get when you multiply both sides of this inequality by -1?
-8x + 9y 

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-8x+9y≤17 can be written -17≤8x-9y, which is the same as 8x-9y≥-17, which is the same as -(-8x+9y)≥-17 or (-1)(-8x+9y)≥(-1)(17), in other words, multiplying both sides by -1. Therefore 8x-9y≥-17 is the result of multiplying both sides by -1.

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