 Hi and welcome to the session. I am Priyanka and let us discuss the following question. It states solve the inequality and show the graph of the solution in each case on number 9. Now the inequality we are talking about is 3x minus 2 is less than 2x plus 1. So let us start with our solution. 3x minus 2 is less than 2x plus 1. On subtracting 2x from both the sides we have 3x minus 2 minus 2x is less than 2x plus 1 minus 2x. Further we have x minus 2 is less than 1. Now on adding 2 on both the sides we have x minus 2 plus 2 is less than 1 plus 2. After simplification we have x is less than 3. So real x the solution set consists of all real numbers less than 3. So in an open interval we have minus infinity to 3. Now we need to show it on a graph also. So let us have a graph on which we have a number line. Now we need to have the solution set is equal to minus infinity to 3. So it will be from minus from 3 to minus infinity. Hence it will be this whole line that is the purple line which is representing the solution set. So graphical representation of the solution line. So I hope you are in question well. Bye for now.