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Which equation or inequality shows the relationship between the values 17 and \(|-71|\)?

A. 17 = -71
B. 17 > -71
C. 17 < -71
D. 17 = 71

Answer :

Final answer:

The correct answer is Option C: 17 < -71. This inequality shows that 17 is less than -71.

Explanation:

The relationship between the values 17 and |-71| (absolute value of -71) can be described by option C: C. 17 < -71 The absolute value of -71 is 71, which is a positive number. Since 17 is a positive number and 71 is greater than 17, you express their relationship as 17 being less than 71. So, the correct inequality to describe this relationship is 17 < 71. Options A and D are incorrect because 17 does not equal -71 or 71. Option B is also incorrect because 17 is not greater than -71; in fact, it is less than |-71| (which is 71).

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