1.Rozwiąż nierówność: a) [latex] frac{4x-1}{2} extless 1 [/latex] b) [latex]x+3 geq 2x-1[/latex] 2.Rozwiąż układ. a)[latex] left { {{3x-y=2} atop {2x+3y=5}} ight. [/latex] b) [latex] left { {{2x+y=-1} atop {3x+2y=-1}} ight. [/latex] 3.Oblicz mie

1. a) [latex] frac{4x-1}{2} [/latex]<1 |*2 4x-1<2 |+1 4x<3 |/4 x<[latex] frac{3}{4} [/latex] b) x+3[latex] geq [/latex]2x-1 |-3 x[latex] geq [/latex]2x-4 |-2x -x[latex] geq [/latex]-4 |*(-1) x[latex] leq [/latex]4 2. a) [latex] left { {{3x-y=2 |*3} atop {2x+3y=5}} ight. [/latex] [latex] +left { {{9x-3y=6} atop {2x+3y=5}} ight.[/latex] 11x=11 |/11 x=1 3*1-y=2 3-y=2 |+3 -y=5 |*(-1) y=-5 [latex] left { {{y=-5} atop {x=1}} ight. [/latex] b)[latex] left { {{2x+y=-1 |*(-2)} atop {3x+2y=-1}} ight. [/latex] [latex]+ left { {{-4x-2y=2} atop {3x+2y=-1}} ight. [/latex] -x=1 |*(-1) x=-1 2*(-1)+y=-1 -2+y=-1 |+2 y=1 [latex] left { {{y=1} atop {x=-1}} ight. [/latex] 3. a) y=[latex] frac{1}{2} [/latex]x+3 0=[latex] frac{1}{2} [/latex]x+3 |-[latex] frac{1}{2} [/latex]x -[latex] frac{1}{2} [/latex]x=3 |*(-2) x=-6 b)y=-3x+[latex] frac{1}{3} [/latex] 0=-3x+[latex] frac{1}{3} [/latex] |+3x 3x=[latex] frac{1}{3} [/latex] |/3 x=[latex] frac{1}{9} [/latex]