Question

1. Solve each absolute value equation or inequality and choose the correct answer from the choices provided. |x| + 5 = 18 (1 point) 5 or –5 13 or –13 18 or –18 23 or –23 2. |x + 3| < 5 (1 point) –8 < x < 2 –2 < x < 8 3 < x < 5 –3 < x < 5 3. |–3n| – 2 = 4 (1 point) 2 or –2 3 or –3 4 or –4 6 or –6

Answer 1

|x| + 5 = 18
|x| = 13
x = ±13

|x+3| < 5
x+3 < 5 if x >= -3
x < 2
so, -3 <= x < 2
or
x+3 > -5 if x < -3
x > -8
so, -8 < x < -3

result: -8 < x < 2

|-3n|-2 = 4
|-3n| = 6
|3n| = 6 since |-3n|=|3n|
3n = ±6
n = ±2