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.