 Hi and how are you all today? The question states solve the inequalities for real x. The inequality given to us is 37 minus bracket 3x plus 5 bracket close is greater than equal to 9x minus 8 bracket x minus 3. Now on removing the brackets we have 37 minus 3x minus 5 is greater than equal to 9x minus 8x plus 24 minus minus is plus. Now on simplification we have 37 minus 5 will give us 32. 32 minus 3x is greater than equal to x plus 24. Now on subtracting 24 from both the sides we have 32 minus 3x minus 24 is greater than equal to x plus 24 minus 24. After simplification we have 8 minus 3x is greater than equal to x. We can add 3x to both the sides we have 8 minus 3x plus 3x is greater than equal to x plus 3x. 8 is greater than equal to 4x. On dividing both the sides by 4 we have 2 is greater than equal to x or we can write that x is less than equal to 2. So for all the real values of x the solution set consists of all real numbers less than equal to 2 and hence the solution set is an open interval from minus infinity to closed interval 2. So this completes the question. Bye.