solve the inequality -3n<81
divide by -3:
n > -27
Note that multiplying by a negative value changes the direction of the inequality. It's just shorthand for moving things to the other side:
-3n < 81
add 3n:
0 < 3n+81
subtract 81:
-81 < 3n
divide by 3:
-27 < n
which is the same as n > -27
mainly what you are trying to do is get the n by itself.
To solve the inequality -3n < 81, you need to isolate the variable n.
Step 1: Start by dividing both sides of the inequality by -3. Remember to flip the inequality sign when dividing by a negative number.
(-3n)/(-3) > 81/(-3)
Simplifying, we get:
n > -27
So, the solution to the inequality -3n < 81 is n > -27.