Помогите полжалуйста решить lg(x-1) больше 0 log2(x+3) больше 1 log2(2-x) меньше 2 log3(2x+1) меньше 2

lg(x-1)>0  ⇒ [latex] \left \{ {{x-1>0} \atop {x-1>1}} \right. [/latex]⇒[latex] \left \{ {{x>1} \atop {x>2}} \right. [/latex]⇒x>2 log2(x+3)>1⇒[latex] \left \{ {{x+3>0} \atop {x+3>2}} \right. [/latex]⇒[latex] \left \{ {{x>-3} \atop {x>-1}} \right. [/latex]⇒x>-1 log2(2-x)<2 ⇒[latex] \left \{ {{2-x>0} \atop {2-x<4}} \right. [/latex]⇒[latex] \left \{ {{x<2} \atop {x>-2}} \right. [/latex]⇒ -20} \atop {2x+1<9}} \right. [/latex]⇒[latex] \left \{ {{x>-1/2} \atop {x<4}} \right. [/latex]⇒ -1/2