How many integers $n$ satisfy the inequality $3n^2 - 4 \le 44$?

7 integers

Step-by-step explanation:

The inequality to solve is  

We can do algebra and solve this:

If we solve , we will get the intercepts. So:

Since, the inequality is less than, the solution set is all numbers between -4 and 4. So

-4 < n < 4

*note: -4 and 4 is NOT included, so the integers in the range are:

-3, -2, -1, 0, 1 , 2, 3

Which is 7 integers.

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints