 Hello and welcome to the session. My name is Mansi and I am going to help you with the following question. The question says solve the inequalities. 6 is less than equal to minus 3 into 2x minus 4 is strictly less than 12. In this question we have to solve the given inequality. Now let us start with the solution. We are given 6 is less than equal to minus 3 into 2x minus 4 which is strictly less than 12. Now we see that this statement is equivalent to two inequalities. They are 6 is less than equal to minus 3 into 2x minus 4 which is the first part and minus 3 into 2x minus 4 is strictly less than 12 that is the second part. Now we solve them simultaneously we have 6 is less than equal to minus 3 into 2x minus 4 which is strictly less than 12 or 6 is less than equal to minus 6x plus 12 which is strictly less than 12 or 1 is less than equal to minus x plus 2 which is strictly less than 2 or minus 1 is less than equal to minus x which is strictly less than 0 or we can say 1 is greater than equal to x which is strictly greater than 0 hence the solution set is the interval 0 1 where 0 is not included but 1 is included so this is our answer to this question I hope you understood the question and enjoyed the session have a good day