Solve the Inequality and Graph the Solution on the Real $$\frac { x ^ { 2 } + x - 12 } { x } \geq 0$$

question 120

Multiple Choice

Solve the inequality and graph the solution on the real number line. $$\frac { x ^ { 2 } + x - 12 } { x } \geq 0$$

• A) \([ - 4,0 ) \cap [ 3 , \infty )\)
• B) \([ 4,0 ) \cup [ 3 , \infty )\)
• C) \([ 4,0 ) \cup [ - 3 , \infty )\)
• D) \([ - 4,0 ) \cap [ - 3 , \infty )\)
• E) \([ - 4,0 ) \cup [ 3 , \infty )\)

---

Definitions:

Luteinizing Hormone

A hormone produced by the anterior pituitary gland that triggers ovulation and stimulates the production of sex hormones in both males and females.

Melatonin

Hormone (amino acid derivative) secreted by the pineal body; inhibits the secretion of gonadotropin-releasing hormone from the hypothalamus.

Photoperiod

The duration of daylight in a 24-hour period, influencing biological processes in organisms.

Pineal Gland

A small, pine cone–shaped structure that projects from the epiphysis of the diencephalon; produces melatonin; also called pineal body.