4 thoughts on “Modulus Functions in Two Variables – 3

  1. is there any shorter way to calculate the number of integral points satisfying the inequality ??? or do we have to count the possibilities for y in integer co-ordinate of x ???

    • We could develop formulae for the simpler cases, Sahil….but then they would be rather specifically applicable. Also, in the heat of the test, a formula is the first thing that you would mess up generally 🙂 Personally, I prefer to count. Since there is usually a pretty visible pattern, it hardly takes time once you’ve practiced it a bit…


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