Question

Tell wether the given value is a solution of the inequality.

Answer 1

N is a placeholder for a number. In this case, it is 4

We will replace every copy of 'n' with '4' and then simplify

So n+8 turns into 4+8 which simplifies to 12

Is 12 less than or equal to 13? Yes it is. Specifically it is less than 13. So n = 4 is part of the solution set.

Here is how you'd write it all out using algebra

$n+8 \le 13$

$4+8 \le 13$

$12 \le 13$

The last inequality is true so the first inequality is true when n = 4. This is another way to see that n = 4 is a solution.