 Hello and how are you all? The question says solve the inequality for real x. We need to solve the given inequality that is 3x-7 is greater than 5x-1. Now we are given 3x-7 is greater than 5x-1. Let us simplify that will be on adding 7 to both the sides. We can simplify it. Minus 7 and plus 7 will get cancelled out may left with 3x is greater than 5x plus 6. Now on subtracting 5x from both the sides, we can simplify it further. Minus 2x is greater than 6. Now dividing both the sides by negative 2 and changing the sign of inequality. Since it is getting divided by negative number, we have the value of x as x is less than minus 3. Hence the solution set for real x is minus infinity to minus 3 in an open interval. So this completes the question. This is our required answer. I hope you enjoyed. Take care.