Solve the inequality 3(x-2)>4(2x+11)?

We mutiply out of the brackets so that it could be
omitted

3x-6 >
8x+44

3x-8x >50

-5x
>50

Remember, if you multiply or divide an
inequality by a negative number, CHANGE the sign of the equation. (Even college students
make those
mistakes).

x<-10

This
is the solution to the inequality

Writing as an interval
form like what giorigana1976 did was no wrong, but x<-10 is simpler and easier to
understand. Moreover, writing as an internal omits the variable, leaving the teacher
confused about what variable you are solving. Most of all, do what your teacher says and
you would be ok.