 Hi and how are you all today? I am Priyanka and let us discuss the following question. Say solve minus 12x greater than 30 when x is a natural number, second part x is an integer. So let us start with our solution. The inequality given to us is minus 12x is greater than 30. Now on using rule 2 which says that both sides of an inequality can be multiplied or divided by the same positive number. But when both sides are multiplied or divided by a negative number that we are going to do just now, then the sign of inequality reversed. Right? So now we will be dividing both sides by minus 12 and as we have seen in our rule it is mentioned that the sign of inequality is reversed when we are dividing by a negative number. So now it will become less than 30 divided by minus 12. On simplifying we have the answer as x is less than 5 by minus 2 which can be written as x is less than minus 5 by 2. Right? So for the first part when x is a natural number, the solution set is since x is less than a negative number and we know that in natural numbers we cannot include the negative number so there is no solution of the problem in natural numbers whereas when it is given to us that when x is an integer then the values of x which makes the statement true minus 4 minus 3. Right? So the solution set obviously so on is minus 3 minus 4 and so on. So this is the required answer of the second part also. Bye for now.