Question 1045181
That is not a compound inequality; but to solve requires the same (almost) properties that you may already know.


1/2y + 2 > 1/3y - 4


(1/2)y + 2 > (1/3)y - 4


{{{(1/2)y + 2 > (1/3)y - 4}}}


LCD is 6, so multiply members by 6.


{{{3y+12>2y-24}}}


Addition Prop of Inqly
{{{3y-2y+12>2y-24-2y}}}
{{{y+12>-24}}}
{{{y+12-12>-24-12}}}
{{{highlight(y>-36)}}}


All real numbers greater than or equal to negative thirty six.


(-36,infinity)