Question 947677
-1<3-2x<=7


{{{-1<3-2x<=7}}}


SOLVE for x using the number properties already familiar to you but now including what happens in case of multiplying by a negative value (which reverses the inequality direction).


{{{-1-3<3-2x-3<=7-3}}}
{{{-4<-2x<=4}}}
{{{-4(-1/2)>-2x(-1/2)>=4(-1/2)}}}, note the reversed inequality symbols.
{{{highlight(2>x>=-2)}}}