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The-number-of-points-in-the-cartesian-plane-with-integral-coordinates-satisfying-the-inequalities-x-4-y-4-and-x-y-4-is-




Question Number 21867 by Tinkutara last updated on 05/Oct/17
The number of points in the cartesian  plane with integral coordinates  satisfying the inequalities ∣x∣ ≤ 4, ∣y∣ ≤  4 and ∣x − y∣ ≤ 4 is
$$\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{points}\:\mathrm{in}\:\mathrm{the}\:\mathrm{cartesian} \\ $$$$\mathrm{plane}\:\mathrm{with}\:\mathrm{integral}\:\mathrm{coordinates} \\ $$$$\mathrm{satisfying}\:\mathrm{the}\:\mathrm{inequalities}\:\mid{x}\mid\:\leqslant\:\mathrm{4},\:\mid{y}\mid\:\leqslant \\ $$$$\mathrm{4}\:\mathrm{and}\:\mid{x}\:−\:{y}\mid\:\leqslant\:\mathrm{4}\:\mathrm{is} \\ $$

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