Answer:
7 integers
Step-by-step explanation:
The inequality to solve is [tex]3n^2-4<44[/tex]
We can do algebra and solve this:
[tex]3n^2-4<44\\3n^2-4-44<0\\3n^2-48<0[/tex]
If we solve [tex]3n^2-48=0[/tex], we will get the intercepts. So:
[tex]3n^2-48=0\\3(n^2-16)=0\\n^2-16=0\\n^2=16\\n=4,-4[/tex]
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.
