Question 502762


{{{-9<2z+7<10}}} Start with the given compound inequality.



{{{-9-7<2z<10-7}}} Subtract {{{7}}} from all sides.



{{{-16<2z<10-7}}} Combine like terms on the left side.



{{{-16<2z<3}}} Combine like terms on the right side.



{{{(-16)/2<z<(3)/2}}} Divide all sides by 2.



{{{-8<z<3/2}}} Reduce.



So our answer is {{{-8<z<3/2}}}