Question 460091

{{{-14<=4x-7<=-2}}} Start with the given compound inequality.



{{{-14+7<=4x<=-2+7}}} Add {{{7}}} to all sides.



{{{-7<=4x<=-2+7}}} Combine like terms on the left side.



{{{-7<=4x<=5}}} Combine like terms on the right side.



{{{(-7)/4<=x<=(5)/4}}} Divide all sides by 4.



So the answer is {{{-7/4<=x<=5/4}}}