a)
[tex]\it 2x-1 > -5|_{+1} \Rightarrow 2x > -4|_{:2} \Rightarrow \ x > -2\ \Rightarrow A=\{ -1,\ 0,\ 1,\ 2,\ ...\}\\ \\ 5x-1 < 9|_{+1} \Rightarrow 5x < 10|_{:5} \Rightarrow x < 2 \Rightarrow B=\{\ ...,\ -3,\ -2,\ -1,\ 0,\ 1\}\\ \\ A\cap B=\{-1,\ 0,\ 1\}[/tex]
b)
[tex]\it x+3\geq0 \Rightarrow x\geq3 \Rightarrow A=\{3,\ 4,\ 5,\ 6,\ ...\}\\ \\ -2x+5 > -7 \Rightarrow 5+7 > 2x \Rightarrow 12 > 2x|_{:2} \Rightarrow x < 6 \Rightarrow B=\{...,\ -1, 0, \ 1,\ 2,\ 3,\ 4,\ 5\}\\ \\ A\cap B=\{3,\ 4,\ 5\}[/tex]
