 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 following inequality. The inequality is 2 is less than equal to 3x minus 4 is less than equal to 5. So in this question we need to solve the given inequality. Let us start with the solution to this question. We are given 2 is less than equal to 3x minus 4 is less than equal to 5. Now this is equivalent to inequalities 2 is less than equal to 3x minus 4 that means this part and 3x minus 4 is less than equal to 5 that means this part. Now we will solve them simultaneously. We have 2 is less than equal to 3x minus 4 is less than equal to 5. Now we can add 4 to 3 of them. So that becomes 2 plus 4 is less than equal to 3x minus 4 plus 4 less than equal to 5. This implies 4 plus 2 is 6 is less than equal to 3x minus 4 gets cancelled with plus 4 and this is less than equal to here we will have 5 plus 4 so it is less than equal to 9. Now we can divide throughout by 3 so we will have 2 is less than equal to x is less than equal to 3. Therefore required solution set is the closed interval 2, 3 where 2 and 3 are included because here if we see that we have an equality sign also 2 is less than equal to x is less than equal to 3 so 2 and 3 will be included and thus this becomes a closed interval. This becomes our answer to this question. I hope that you understood the question and enjoyed the session. Have a good day.