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

2 (2x + 3) – 10 < 6 (x – 2)

It is given in the question that,

2 (2x + 3) – 10 < 6 (x – 2)


4x + 6 – 10 < 6x – 12


4x – 4 < 6x – 12


-4 + 12 < 6x – 4x


8 < 2x


4 < x


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.


14