 Hi and how are you all today? Let us just ask the following question and say solve the inequality for real x, the inequality given to us is x by 3 is greater than x by 2 plus 1. Let us solve, let us multiply each term on both the side by the LCM of 3 and 2 that is 6 Now on doing so we have 2x is greater than 3x plus 6. Now on subtracting 3x from both the side we have 2x minus 3x is greater than 3x plus 6 minus 3x. On solving we have minus x is greater than 6. On multiplying each the side by a negative number that is minus 1 we have minus x that multiplied by minus 1 similarly 6 will get multiplied by minus 1 and since we are multiplying both the sides by a negative number the rule of inequality says that the sign of inequality is reversed. So here we will have sign less than now after simplification it is x is less than minus 6. So for real x the solution set consists of all real numbers less than minus 6 so the answer will be minus infinity to minus 6 in an open interval. This completes the question that was given to us. Bye for now.