Hello Caitlin, |2x + 16| > 24 We want to solve the absolute value 2x + 16 > 24 or 2x + 26 < -24 So we gonna each of them 2x + 16 > 24 2x > 24 - 16 2x > 8 x > 8/2 x > 4 Now let's solve the second possibility 2x + 26 < -24 2x < -24 - 26 2x < -40x < -40/2x < -20 Thus, The answer is: x > 4 or x < -20 If you have additional question about the answer, please feel free to let me know. Have a great weekend! ~Alexandrian