 Hi and how are you all today? Let us discuss the question. Say solve the inequality for real x. 4x plus 3 is less than 6x plus 7. Let us start with our solution. Now in order to solve this inequality for real x, we need to simplify this, that we can do by first of all subtracting 3 from both the sides. These two will get cancelled. We are left with 4x is less than 6x plus 4. That is after simplification. Now on subtracting 6x from both the sides, we have 4x minus 6x is less than 6x plus 4 minus 6x. We have on simplification minus 2x is less than 4. Now on dividing both the sides by a negative number, that is minus 2, we need to change or reverse the sign of inequality. And after simplification, we are left with the answer, that is the value of x is greater than minus 2. So for real x, the solution set consists of all the real numbers that are greater than minus 2. And hence the solution set is equal to minus 2 to infinity where they both are not included. So this completes the question that was given to us. I hope you enjoyed. Take care.