Question

N is an integer and -2

Answer 1

Answer:

(2) n > 6 (3) -4, -3, -2, -1, 0, and 1.

Step-by-step explanation:

(2) to solve first we subtract 12n from both sides making it 3n > 18 then we divide 3...making it n>6 (remember if you're solving an inequality its not unlike solving an equation)

(3) For this let's separate it into -2<n+3 which solving gets us n > -5

Steps: we subtract 3 from both sides again which makes it -5 < n but usually the variable should go to the left of an equality so n> -5

The other part is n+3 is less than equal to 4. which equals n is less than equal to 1 (I think you get how to solve now :)

once we combine both of the inequalities you'll get -5<n less than equal to 1. Which means the possible values are -4, -3, -2, -1, 0, and 1.

Answer 2

(a). The solution is $n > 6$

(b). The all possible values of n are $-4,-3,-2,-1,0,1$

Inequality:

(a). The given inequality is;

                  $15n > 12n+18$

Now we have to solve inequality,

                    $15n > 12n+18\\\\15n-12n > 18\\\\3n > 18\\\\n > 18/3\\\\n > 6$

(b).  Inequality is $-2 < n+3\leq 4$

  Now we have to solve inequality,

                    $-2 < n+3\leq 4\\\\-2-3 < n\leq 4-3\\\\-5 < n\leq 1$

So that, the all possible values of n are $-4,-3,-2,-1,0,1$

Learn more about the inequality here:

https://brainly.com/question/24372553