3 times a number, n, minus 4 is less than - 11

The number you are looking for is n < - 2.333 ...

Step-by-step explanation:

Here is the modeled equation for this problem:

3n - 4 < - 11.

Add 4 to both sides to isolate 3n.

3n - 4 + 4 < - 11 + 4.

3n < - 7.

Divide 3 to both sides to get the value of n.

3n/3 < - 7/3.

n < - 2.333 ...

So n must be less than - 2.333 ... to make the equation true. Any number equal to or greater than - 2.333 will result in the equation being false.