 Hello and welcome to the session. My name is Mansi and I'm going to help you with the following question. The question says solve the inequalities. Fourth question is minus fifteen is strictly less than three into x minus two divided by five is less than equal to zero. So in this question we solve the given inequalities. Let us start with a solution to this question. Now we are given minus fifteen is strictly less than three into x minus two divided by five is less than equal to zero. Now this statement is equivalent to two inequalities that is minus fifteen is strictly less than three into x minus two divided by five. This we get from the first part and three into x minus two divided by five is less than equal to zero. This we get from the second part. Now we shall solve them simultaneously. We have minus fifteen is strictly less than three into x minus two divided by five is less than equal to zero or minus seventy-five is strictly less than three into x minus two is less than equal to zero or minus seventy-five is strictly less than three x minus minus 6 is less than equal to 0 or minus 69 is strictly less than 3x less than equal to 6 or minus 23 is strictly less than x is less than equal to 2. Therefore, the solution set is minus 23 2 which is open at minus 23 that means minus 23 is not included but 2 is included. So, this is our answer to this question. I hope you understood the question and enjoyed the session. Have a good day.