Răspuns :
Răspuns:
f)
2*(3x+7)+19>3*(6x-1)
6x + 14 + 19 > 18x - 3
6x + 33 > 18x - 3
33 + 3 > 18x - 6x
36 > 12x
x < 36/12
x < 3
x ∈ (-∞; 3)
g)
|4x+3| =5
4x + 3 = 5 4x + 3 = - 5
4x = 5 - 3 4x = - 5 - 3
4x = 2 4x = - 8
x = 2/5 x = - 8/4
x = 0,4 x = - 2
x = {-2; 0,4}
[tex]\it f)\ 2(3x+7)+19 > 3(6x-1) \Rightarrow 6x+14+19 > 18x-3 \Rightarrow \\ \\ \Rightarrow 14+19+3 > 18x-6x \Rightarrow 36 > 12x|_{:12} \Rightarrow 3 > x \Rightarrow x < 3 \Rightarrow x\in(-\infty,\ 3)\\ \\ \\ g)\ |4x+3|=5 \Rightarrow 4x+3=\pm5 \Rightarrow 4x+3\in\{-5,\ 5\}|_{-3} \Rightarrow 4x\in\{-8,\ 2\}|_{:4} \Rightarrow \\ \\ \Rightarrow x\in\{-2;\ \ 0,5\}[/tex]