Question

Determine the solution?

Answer 1

Answer:

c)   (-∞, -4] or [7,∞)

Step-by-step explanation:

x² - 3x - 28 ≥ 0

x² - 7x + 4x -28 ≥ 0

x (x - 7) + 4(x - 7) ≥ 0

(x-7) (x + 4) ≥ 0

When x value lies in (-∞, -4],  (x-7)  value will be negative and (x+ 4) will be negative. So, result will be positive

When x value lies in [7,∞),  both (x-7)  and (x+ 4) will be positive. So, result will be positive