Solve the inequalities in Exercises 5 to 16 for real x:
37 – (3x + 5) ≥ 9x – 8 (x – 3)
We have,
37 - (3x + 5) ≥ 9x - 8 (x - 3)
= 37 - 3x – 5 ≥ 9x - 8x + 24
= 32 - 3x ≥ x + 24
= 32 - 24 ≥ x + 3x
= 8 ≥ 4x
= 2 ≥ x
∴ All the real numbers of x which are less than or equal to 2 are the solutions of the given inequality
Hence, will be the solution for the given inequality