 Hi, and how are you all? Let us discuss the question. It says, solve the inequality and show the graph of the solution on number 9. Now, this is the inequality which we are given. That is, x by 2 is less than 5x minus 2 divided by 3 minus 7x minus 3 divided by 5. Now, first of all, let us multiply each term on both the sides by the LCM of 2, 3 and 5, that is 30. So, on doing so we have, now 15x is less than 10 bracket 5x minus 2 minus 6 bracket 7x minus 3. Now, by removing the brackets, we have 15x is less than 50x minus 20 minus 42x plus 18. After simplification, we have 15x is less than 8x minus 2. Now, subtracting 8x from both the sides, we have 15x minus 8x is less than 8x minus 2 minus 8x. On simplifying, we have 7x is less than minus 2. Dividing both the sides by a positive number that is 7 we have, 7x divided by 7 is less than minus 2 divided by 7. That gives us the solution as x is less than minus 2 by 7. Hence, the solution set consists of all real numbers less than minus 2 by 7. So, the solution set is equal to minus infinity to minus 2 by 7. Now, we need to show graphically the solution also. So, graphical representation of the solution on number line will be, so let us have a graph and this is the number line. Now, x is less than minus 2 by 7, so here it is minus 2 by 7 and from here we will show that this blue line is showing that x is less than minus 2 by 7. So, this is the graphical representation of the solution on number line. I hope you enjoyed.