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Rezolvati in Z ecuatia 4-2(x+1) mai mic sau egal x+11
VA ROG


Răspuns :

4-2(x+1) <= x+11

4-2x-2 <= x+11

-2x-x <= 11+2-4

-3x <= 9 |*(-1)

3x >= -9

x >= (-9):3

x>= -3

x € {-3, -2, -1, 0, 1, 2, 3, ...}

[tex]4 - 2(x + 1) \leqslant x + 11 \\ \\ \\ 4 - 2x - 2 \leqslant x + 11 \\ \\ \\ 2 - 2x \leqslant x + 11 \\ \\ \\ - 2x - x \leqslant 11 - 2 \\ \\ \\ - 3x \leqslant 9) \div - 3 \\ \\ x \geqslant -3 [/tex]

=> x € {-3,-2,-1,0,...,infinit}