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QuizMultiple Choice

Absolute Value Inequalities — Quiz

Question 2 • Algebra II

A cyclist rides at an average speed of 31 miles per hour. The cyclist’s speed, s , can differ from the average by as much as 8 miles per hour. The absolute value inequality start absolute value 31 minus s end absolute value is less than or equal to 8 represents this situation. If the compound inequality negative x is less than or equal to 31 minus s and x is greater than or equal to 31 minus s also represents this situation, what is the value of x in the compound inequality?

Answer
A
negative 8
B
8 and negative 8
C
negative 8 or 8
D
8
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