5
QuizMultiple Choice

Absolute Value Inequalities — Quiz

Question 5 • Algebra 2 with Probability

Which compound inequality can be used to solve the inequality start absolute value 3 x plus 2 end absolute value is greater than 7 ?

Answer
A
negative 7 is less than 3 x plus 2 comma 3 x plus 2 is greater than 7
B
3 x plus 2 is greater than negative 7 or 3 x plus 2 is greater than 7
C
3 x plus 2 is less than negative 7 or 3 x plus 2 is greater than 7
D
negative 7 is greater than 3 x plus 2 comma 3 x plus 2 is greater than 7

Explanation

For an expression y, |y| > 7 means y is more than 7 units from 0, so y < −7 or y > 7. Substituting y = 3x + 2 gives 3x + 2 < −7 or 3x + 2 > 7. This is choice C.

AI-written and checked against the verified answer.

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