Question

4 Rezolvati urmatoarele inecuatii in multimea N
a) 3x-9<0
b) 2x-8≤0
c) -6x+13≥0
d) 2-x>0
e) -2x+11>0
f) |-3|•x-18≤0
g) √8-x√2≥0
h) -3x-7>0
i) √2x+√3>0

Answer 1

Ai noroc. Asta e ultimul raspuns in seara asta ^^.
ok deci
a) 3x-9<0, 3x<9 , x<3, x apartine (3, - infinit)
b) 2x-8≤0, 2x≤ 8, x ≤4, x apartine [4, - infinit]
c) -6x +13≥0, -6x≥-13 x≥13:6, x apartine [13;6, + infinit]
d) 2-x>0 , -x>-2 x>2, x apartine (2, + infinit)
e) -2x+11> 0, -2x>-11, 2x>11, x>11:2 ,x apartine (11:2, + infinit)
f)|-3|*x -18≤ 0, 0≤3x-18≤0 |+18, 18≤3x ≤18 | :3, 18:3≤x≤18:3, rezulta ca x apartine [18:3,18:3]
g) √8-x√2≥0, -x√2≥-√8, x√2≥√8 | *√2, x≥√16, x≥4, x apartine [4, + infinit]
h) -3x-7>0, -3x>7, 3x>-7, x>-7:3, x apartine (-7:3, + infinit)
j)√2x+√3>0 ,√2x>-√3 | *√2, x>√6, x apartine (√6, + infinit)..... Sper ca te-am ajutat