## Algebra and Trigonometry 10th Edition

$|x+10| \geq 6$
To find the absolute value of a given expression we need to define what is the absolute value function. The absolute value of a number is its distance from the origin. |x| = 0 if x = 0; |x| = -x if x < 0; |x| = x if x > 0; The distance between x and -10 is |x - (-10)| = |x+10| and since this distance must be greater than or equal to 6. Hence $|x+10| \geq 6$