 Hi and how are you all today? Let us discuss the question. It says solve the inequality with 3 bracket x minus 1 less than equal to 2 bracket x minus 3 bracket closed for real x. We need to solve for real x. So let us rewrite the inequality given to us. On removing brackets we have 3x minus 3 is less than equal to 2x minus 6. Now on adding 3 to both the sides we have 3x minus 3 plus 3 less than equal to 2x minus 6 plus 3. After simplification we have 3x is less than equal to 2x minus 3. Now on subtracting 2x from both the sides we have 3x minus 2x less than equal to 2x minus 3 minus 2x. After simplification we are left with x is less than equal to minus 3. So as x is a real number the solution says set consist of all real numbers less than or equal to minus 3. So solution set is equal to since it is less than equal to minus 3 so minus 3 is included from the minus infinity side it will be an open interval. So this ends the question. I hope you enjoyed the session. You take care of all your calculations. Bye for now.