 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. 7 is less than equal to 3x plus 11 divided by 2 is less than equal to 11. So in this question we have to solve the given inequality. Now we start with the solution to this thing. Now we are given that 7 is less than equal to 3x plus 11 divided by 2 is less than equal to 11. Now this statement is equivalent to two inequalities. First is 7 is less than equal to 3x plus 11 divided by 2. This we get from the first part and second is 3x plus 11 divided by 2 is less than equal to 11 and this we get from the second part. These two inequalities simultaneously. We have 7 is less than equal to 3x plus 11 divided by 2 is less than equal to 11 or 14 is less than equal to 3x plus 11 is less than equal to 22 or 3 is less than equal to 3x is less than equal to 11 or 1 is less than equal to x is less than equal to 11 divided by 3. Hence the solution set is 1 to 11 divided by 3 both the numbers included. This is our answer. I hope you understood the question and enjoyed the session. Have a good day.