Question

solve the following absolute value equation. 2|x + 4| = 20 a ( x = {-14, 6} ) b ( x = {-6} ) c ( x = {-4, 10} ) d ( x = {-10, 10} )

Explanation:

Step1: Divide both sides by 2

\( |x + 4| = 10 \)

Step2: Apply absolute value rule

\( -10 < x + 4 < 10 \)

Step3: Subtract 4 from all parts

\( -14 < x < 6 \)

Step4: Express as interval

\( x = (-14, 6) \)

Answer:

A. \( x = (-14, 6) \)