Question 289090
{{{4<3x+1<25}}} Start with the given compound inequality.



{{{4-1<3x<25-1}}} Subtract 1 from all sides.



{{{3<3x<24}}} Combine like terms.



{{{3/3<x<24/3}}} Divide all sides by 3.



{{{1<x<8}}} Reduce.



So the solution is {{{1<x<8}}}. To graph this, simply draw a number line and shade between the numbers 1 and 8 (ie create a thicker line from 1 to 8). However, draw open circles at 1 and 8 to exclude them from the solution set.