3x+2 >5 3x >5-2 3x >3 / : 3 x >1 x∈< 1; +∞) 5-2x < 10 -2x <10-5 -2x <5 / :(-2) x > -5/2 x > -2 i 1/2 x∈ < -2 i 1/2 ; +∞) 4x-3 > 5 4x > 5+3 4x > 8 / : 4 x > 2 x∈ < 2 ; +∞) -x+8 < 9 -x < 9-8 -x < 1 / ·(-1) x > -1 x∈ < -1 ; +∞)
[latex]3x +2> 5[/latex] [latex]3x+2 >5[/latex] [latex]3x >5-2[/latex] [latex]3x >3 / : 3[/latex] [latex]x >1[/latex] ================= [latex]5-2x < 10[/latex] [latex]-2x <10-5[/latex] [latex]-2x <5 / :(-2)[/latex] [latex]x > -2,5[/latex] ================= [latex]4x-3 > 5[/latex] [latex]4x > 5+3[/latex] [latex]4x > 8 /: 4[/latex] [latex]x > 2[/latex] ================= [latex]-x +8<9[/latex] [latex]-x+8 < 9[/latex] [latex]-x < 9-8[/latex] [latex]-x < 1 /:(-1)[/latex] [latex]x > -1[/latex]