In finding the solution for the inequality given, our goal is to solve for t by using the addition/subtraction and multiplication/division properties of inequality.
We start with the inequality given
and then subtract 11 from both sides of the equation to get
Now at this point, we have to remember that whenever we are dividing/multiplying equality by a negative number, the sign of the inequity reverses sign. In our case, dividing both sides by -3 turns ' < ' into ' > ' and gives us