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ksenyaa1
@ksenyaa1
July 2022
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знайти найменший цілий розв'язок
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paradiseva
Verified answer
2 - (x-3)/(x+2) > (x-2)/(x+1)
2 - (x-3)/(x+2) - (x-2)/(x+1) > 0
(2(x+2)(x+1) - (x-3)(x+1) - (x-2)(x+2)) / (x+2)(x+1) > 0
(2(x^2 + 3x +2) - (x^2 - 2x - 3) - (x^2-4)) / (x+2)(x+1) > 0
(2x^2 + 6x + 4 - x^2 + 2x + 3 - x^2 +4) / (x+2)(x+1) > 0
(8x + 11) / (x+2)(x+1) > 0
x
∈ (-2;-11/8)U(-1; +беск)
наименьший целый 0
1 votes
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Answers & Comments
Verified answer
2 - (x-3)/(x+2) > (x-2)/(x+1)2 - (x-3)/(x+2) - (x-2)/(x+1) > 0
(2(x+2)(x+1) - (x-3)(x+1) - (x-2)(x+2)) / (x+2)(x+1) > 0
(2(x^2 + 3x +2) - (x^2 - 2x - 3) - (x^2-4)) / (x+2)(x+1) > 0
(2x^2 + 6x + 4 - x^2 + 2x + 3 - x^2 +4) / (x+2)(x+1) > 0
(8x + 11) / (x+2)(x+1) > 0
x ∈ (-2;-11/8)U(-1; +беск)
наименьший целый 0