Question 479293
Look at the graph of {{{ -3(x+1)-x/2+3/2 }}}:

{{{graph( 500, 500, -10, 10, -10, 10, -3(x+1)-x/2+3/2 ) }}}

Your inequality is true where that graph is less than 0:

{{{graph( 500, 500, -10, 10, -10, 10, -3(x+1)-x/2+3/2<0 ) }}}