Question

amber is solving the inequality |x + 6| - 12 < 13 by graphing. which equations should amber graph?
o y1 = |x + 6|, y2 = 25
o y1 = x + 6, y2 = 25
o y1 = |x + 6|, y2 = 13
o y1 = x + 6, y2 = 13

Explanation:

Step1: Isolate the absolute - value expression

Given \(|x + 6|-12<13\), add 12 to both sides of the inequality. We get \(|x + 6|<13 + 12\), so \(|x+6|<25\).
To solve this inequality by graphing, we can consider two functions. One is \(y_1=|x + 6|\) (the left - hand side of the inequality) and the other is \(y_2 = 25\) (the right - hand side of the inequality after simplification).

Answer:

A. \(y_1=|x + 6|,y_2 = 25\)