Correct Answer: Option B

Explanation

\(\frac{x + 1}{3}\) > \(\frac{1}{X + 3}\) = \(\frac{x + 1}{3}\) > \(\frac{x + 3}{X + 3}\)

= (x + 1)(x + 3)² > 3(x + 3) = (x + 1)[x² + 6x + 9] > 3(x + 3)

x³ + 7x² + 15x + 9 > 3x + 9 = x³ + 7x² + 12x > 0

= x(x + 3)9x + 4) > 0

Case 1 (+, +, +) = x > 0 , x + 3 > 0, x + 4 > 0

= x > -4 (solution only)

Case 2 (+, -, -) = x > 0, x + 4 < 0

= x > 0, x < -3, x < -4 = x < -3(solution only)

Case 3 (-, +, -) = x < 0, x > -3, x < -4 = x < -0, -4 < x < 3(solutions)

Case 4 (-, -, +) = x < 0, x + 3 < 0, x + 4 > 0

= x < 0, x < -5, x > -4 = x < -0, -4 < x < -3(solution)

combining the solutions -4 < x < -3

• what is the fluid in the eye calles? Answer this

  1 Answers   ·   Biological Science   ·   7 hours ago
• which school is the richest school in Nigeria? Answer this

  1 Answers   ·   1 day ago
• how does post utme looks like and what are the subjects required for a medical student? Answer this

  1 Answers   ·   1 day ago