Question 112982
{{{-3<3m+1/4<3}}} Start with the given compound inequality


{{{4(-3)<4(3m+1/4)<4(3)}}} Multiply all sides by the LCM 4 (notice this is the denominator of {{{1/4}}}). The goal of this move is to eliminate the fraction {{{1/4}}}



{{{4(-3)<4*3m+4(1/4)<4(3)}}} Distribute



{{{-12<12m+4/4<12}}} Multiply



{{{-12<12m+1<12}}} Reduce



{{{-12-1<12m+1-1<12-1}}} Subtract 1 from all sides



{{{-13<12m+cross(1-1)<11}}} Combine like terms



{{{-13<12m<11}}} Simplify



{{{-13/12<cross(12/12)m<11/12}}} Divide all sides by 12 to isolate m



So our answer is



{{{-13/12<m<11/12}}}