 Hi and how are you all today? The question says solve the inequality for real x. The inequality given to us is 2 bracket 2x plus 3 bracket close minus 10 is less than 6 bracket x minus 2 bracket close. So let us start on rewriting the given inequality once again. You can see that the next step will be removing the brackets and on doing so we have 4x plus 6 minus 10 is less than 6x minus 12. On simplifying it further we have 4x minus 4 is less than 6x minus 12. On adding 4 to both the sides we have 4x minus 4 plus 4 will get cancelled. 4x is less than 6x minus 12 plus 4 will be simplified and we have 4x is less than 6x minus 8. Now on subtracting 6x from both the sides we have to simplify it further and hence minus 2x is less than minus 8. Multiplying both the sides by minus 1 we have 2x is greater than 8 now. Dividing both the sides by 2 becomes x is greater than 4. Hence the solution set for real values of x in an open interval 4 to infinity. Since x is greater than 4. So this completes the question. Bye for now.