Which values of x will make the absolute value equation true? |x – 3| = 40 a. {–43, –37} b. {43, –37} c. {40, –40} d. {43, 37}

Absolute value stripes make everything inside those stripes positive (or equal to 0).

Therefore

gives us two equations. The first one is the normal equation and on the second equation 40 will be replaced by -40 (because everything BETWEEN the stripes can also be negative, but those stripes make them positive afterwards). Thus:


Add 3 to both sides (in both equations)


Hence, B. is the correct answer.