 Hi and how are you all today? I am Priyanka and let us discuss the following question. It says solve the inequality and show the graph of the solution on number line. Now, this is the inequality which we are given. Let us proceed on with our solution. 3 bracket 1 minus x bracket close is less than 2 bracket x plus 4 bracket close. Now, what we need to do exactly, we need to first remove the brackets. So, we have 3 minus 3x is less than 2x plus 8. Now, let us subtract 3 from both the sides. On doing so, we have 3 minus 3x minus 3 is less than 2x plus 8 minus 3. After simplification, we have minus 3x is less than 2x plus 5. On subtracting 2x from both the sides, we have minus 3x minus 2x is less than 2x plus 5 minus 2x. After simplification, we have minus 5x is less than 5. Now, dividing both the sides by a negative number that is minus 5, we have minus 5x divided by 5. Now, we will be changing the sign of inequality, the sign of the inequality reverses when you divide it by a negative number. So, we have minus 5x divided by minus 5 is greater than 5 divided by minus 5. After simplification, we have x is greater than minus 1. Hence, the solution set is minus 1 to infinity in an open interval. Now, we need to show the graphical representation also. So, graphical representation of the solution on number line. Let us have a graph for it. Now, this is a number line on which we need to show the solution that is minus 1 to infinity. So, when x is greater than minus 1, we will be having our solution as on the graph obviously, it will be from minus 1 to infinity. So, this blue line indicates the solution graphically. I hope you enjoyed this session. Bye for now.