10
QuizMultiple Choice

Absolute Value Inequalities — Quiz

Question 10 • Algebra 2 with Probability

Which inequality is equivalent to start absolute value x minus 4 end absolute value is less than 9 ?

Answer
A
x minus 4 is less than negative 9 or x minus 4 is less than 9
B
negative 9 is greater than x minus 4 comma x minus 4 is less than 9
C
x minus 4 is greater than negative 9 or x minus 4 is less than 9
D
negative 9 is less than x minus 4 comma x minus 4 is less than 9

Explanation

For an absolute value inequality of the form |A| < 9, the expression A must be between −9 and 9: −9 < A < 9. Substituting A = x − 4 gives −9 < x − 4 and x − 4 < 9, which is choice D.

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