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.

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