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

question 144

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.
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• A) closed interval; \(\{ x \mid - 9 \leq x \leq - 3 \} ; [ - 9 , - 3 ]\)
• B) half-open interval; \(\{ x \mid - 9 < x \leq - 3 \} ; ( - 9 , - 3 ]\)
• C) half-open interval; \(\{ x \mid - 9 \leq x < - 3 \} ; [ - 9 , - 3 )\)
• D) open interval; \(\{ x \mid - 9 < x < - 3 \} ; ( - 9 , - 3 )\)

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Definitions:

Clinical Supervision

A structured process of professional support and learning in which practitioners are assisted in developing their practice through regular discussion with experienced colleagues.

Eating Disorder

A range of psychological conditions that cause unhealthy eating habits to develop, often stemming from an obsession with food, body weight, or body shape.

Complications of Refeeding

Health problems that arise from quickly refeeding a person after a period of malnourishment or starvation, often involving metabolic imbalances.

Anorexia Nervosa

An eating disorder characterized by an extreme fear of gaining weight and a distorted body image, leading to self-starvation and excessive weight loss.