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Consider the statement | x − 4 | < 0.5 |x-4|<0.5. What is the meaning of this statement? Select all that apply. a. All values of x x whose distance from 4 is greater than 0.5. b. All values of x x whose distance from 0.5 is greater than 4. c. All values of x x whose distance from 0.5 is less than 4. d. All values of x x whose distance from 4 is less than 0.5.

Respuesta :

Answer:

Option D.

Step-by-step explanation:

The given statement is

[tex]|x-4|<0.5[/tex]

x-4 is difference between x and 4.

|x-4| distance from x because distance can not be negative.

Inequality sign "<" means less than.

[tex]|x-4|<0.5[/tex] represent all values of x whose distance from 4 is less than 0.5.

Therefore, the correct option is D.

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