Question

solve for x. -3(x+1)-x/2+3/2<0

Answer 1

OK, how far have you gotten toward a solution on your own? Anything in particular that is confusing? :)

Answer 2

\[-3(x+1)-\frac{ x }{ 2 }+\frac{ 3 }{ 2 }<0\]
\[-3x-3-\frac{3+x}{2}<0\]
\[-3x-3<\frac{3+x}{2}\]
\[-6x-6<3+x\]
\[7x>-9\]
\[x>-\frac{9}{7}\]