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rezolvati urmatoarele inecuatii unde x este nr naturall: a)2(x-7)<14 b)2(1+x)<6 c)5(2+x)15 d)(x-4)>0 e)64>8(5+x f)162<(17+x)9

Răspuns :

CarMina03
a)2(x-7)<14 2x-14<14
2x<14+14
2z<28
x<28:2
x<14
x∈{0,1,2,3,4,5,6,7,8,9,10,11,12,13}
b)2(1+x)<6 2x+2<6
2x<6-2
2x<4
x<4:2
x<2
x∈{0,1}
c)5(2+x)<1510+5x<15
5x<15-10
5x<5
x<5;5
x<1
x=0

 d)(x-4)>0x-4>0x>4x∈{5,6,7,...infinit}
e)64>8(5+x )   64>40+8x64-40>8x24>8x24:8>x3>xx∈{0,1,2}
f)162<(17+x)9
162<153+9x
162-153<9x
9x>9
x>1
x∈{2,3...,infinit}