Question

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

Answer 1

Answer:

7 integers

Step-by-step explanation:

The inequality to solve is  $3n^2-4$

We can do algebra and solve this:

$3n^2-4$

If we solve $3n^2-48=0$, we will get the intercepts. So:

$3n^2-48=0\\3(n^2-16)=0\\n^2-16=0\\n^2=16\\n=4,-4$

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 2

Answer:

7

Step-by-step explanation: