Question

How many integers n satisfy the inequality 3n² - 4≤44?

Answer 1

i don't know

Explanation:

just trying to complete my quest

Answer 2

The possible values of n for n ≤ +4 = (-∞,+4]

The possible values of n for n ≤ -4 = (-∞,-4]

Explanation:

Here, the given inequality is:

`3n^2 - 4 \leq 44`

Firstly, let us solve the given inequality for the desirable value of n.

`3n^2 - 4 \leq 44`

Adding 4 on both sides, we get:

`3n^2 - 4 + 4 \leq 44 + 4`

`3n^2  \leq 48`

or,
`n^2 \leq (48)/(3)\implies n^2 \leq 16\\`

⇒ n ≤ +4 or n ≤ -4

So, the possible values of n for n ≤ +4 = (-∞,+4]

And, the possible values of n for n ≤ -4 = (-∞,-4]

So, we can pick any of the integer values from the both defined sets.