Solve the inequalities in Exercises 5 to 16 for real x:

3 (2 – x) ≥ 2 (1 – x)

It is given in the question that,

3 (2 – x) ≥ 2 (1 – x)


6 – 3x ≥ 2 – 2x


Adding 2x to both the sides,


6 – 3x+ 2x ≥ 2 – 2x+ 2x


6 – x≥ 2


Subtracting 6 from both the sides,


6 – x – 6 ≥2 – 6


- x ≥-4


x ≥ 4


The solutions of the given inequality are defined by all the real numbers greater than or equal to 4.


Thus, [4, ∞) is the required solution set.


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