1. Rozwiąż nierówność [latex] frac{5+3x}{2} [/latex] > [latex] frac{2x+1}{2} [/latex] -4 2. Rozwiąż równania x+3[latex] sqrt{3} [/latex] = x[latex] sqrt{3} [/latex] +1 x[latex] sqrt{2} [/latex] -3 = [latex] sqrt{2} [/latex] +x

[latex]1.\ frac{5+3x}{2} extgreater frac{2x+1}{2} -4|*2\ 5+3x extgreater 2x+1-8\ x extgreater -12\ 2.\ x sqrt{3} +1=x+3 sqrt{3} \ x sqrt{3} -x=3 sqrt{3}-1\ x(sqrt{3}-1)=3sqrt{3}-1\ x= frac{3sqrt{3}-1}{sqrt{3}-1}* frac{sqrt{3}+1}{sqrt{3}+1} \ x=4+ sqrt{3}\ b)\ x sqrt{2} -3 = sqrt{2} +x\ x sqrt{2} -x = sqrt{2} +3\ x( sqrt{2}-1)= sqrt{2} +3\ x= frac{sqrt{2} +3}{sqrt{2}-1} * frac{ sqrt{2}+1 }{sqrt{2}+1}\ x=5+4 sqrt{2} [/latex]