Question

I need help finding the solution for -3t + 11>20

Answer 1

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

$-3t+11>20$

and then subtract 11 from both sides of the equation to get

$-3t>9$

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

$t\text{ < -3}$