Given the Set Sketched on the Number Line, Identify the Type

question 118

Multiple Choice

Given the set sketched on the number line, identify the type of interval (open, closed, half-open, open infinite, closed infinite) , write the set using set-builder notation, and write the set using interval notation.
-

• A) open infinite interval; \(\{ x \mid x > 1 \} ; ( 1 , \infty )\)
• B) closed infinite interval; \(\{ x \mid x \leq 1 \} ; ( - \infty , 1 ]\)
• C) closed infinite interval; \(\{ x \mid x \geq 1 \} ; [ 1 , \infty )\)
• D) open infinite interval; \(\{ x \mid x < 1 \} ; ( - \infty , 1 )\)

---

Definitions:

Leptin

A hormone produced by fat cells that regulates energy balance by inhibiting hunger, thereby regulating body weight.

Fat Cells

Cells known as adipocytes that store fat and play a crucial role in maintaining energy balance in the body.

Appetite Regulation

The biological and psychological mechanisms that control the amount and types of food consumed, influenced by hormonal and neural signals.

Effectiveness

The level of effectiveness in achieving an intended result or goal.