7
QuizMultiple Choice

Absolute Value Inequalities — Quiz

Question 7 • Algebra 2 with Probability

Contessa is solving an absolute value inequality. She writes the compound inequality negative 7 is less than or equal to 8 minus 3 q comma 8 minus 3 q is less than or equal to 7 as her first step. Which inequality is Contessa solving?

Answer
A
start absolute value 8 minus 3 q end absolute value is less than or equal to 7
B
start absolute value 8 minus 3 q end absolute value is greater than or equal to 0
C
start absolute value 8 minus 3 q end absolute value is less than or equal to 0
D
start absolute value 8 minus 3 q end absolute value is greater than or equal to 7

Explanation

A compound inequality of the form −7 ≤ x ≤ 7 means that x is within 7 units of 0, which is equivalent to |x| ≤ 7. Here, x is 8 − 3q, so Contessa is solving |8 − 3q| ≤ 7, choice A.

AI-written and checked against the verified answer.

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