 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 and represent the solution graphically on number line. Ninth question is 3x-7 is strictly greater than twice of x-6 and 6-x is strictly greater than 11-2x. In this question we have to solve the inequalities given by this and then we have to represent the solution graphically on the number. Now let us start question. Here we are given two inequalities. The first one is 3x-7 is strictly greater than 2 into x-6 or 3x is strictly greater than 2x-5 or x is strictly greater than minus 5. Now the second inequality is 6-x is strictly greater than 11-2x or minus x is strictly greater than 5-2x or x is strictly greater than 5. So we see here that solution of first and second inequality implies that x is strictly greater than 5 hence the values of x satisfying both the inequalities are given by x is strictly less than infinity which is strictly less than 5. Therefore solution set is equal to 5 infinity where 5 and infinity are not included. So this is our answer to this question. Now the representation of this solution set on the number line we see that this line and the solution set is 5 to infinity where we notice that 5 is not included. So our answer to this is 5 infinity where 5 and infinity are not included. So I hope you understood the question and enjoyed the session. Have a good day.