6
QuizMultiple Choice

Absolute Value Inequalities — Quiz

Question 6 • Algebra 2 with Probability

Amber is solving the inequality start absolute value x plus 6 end absolute value minus 12 is less than 13 by graphing. Which equations should Amber graph?

Answer
A
y sub 1 is equal to start absolute value x plus 6 end absolute value , y sub 2 is equal to 13
B
y sub 1 is equal to x plus 6 , y sub 2 is equal to 25
C
y sub 1 is equal to start absolute value x plus 6 end absolute value , y sub 2 is equal to 25
D
y sub 1 is equal to x plus 6 , y sub 2 is equal to 13

Explanation

Add 12 to both sides of |x + 6| − 12 < 13 to get |x + 6| < 25. To solve by graphing, Amber should graph y₁ = |x + 6| and y₂ = 25, then find where the first graph is below the second. That is choice C.

AI-written and checked against the verified answer.

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