Question

Order the following expressions from least to greatest:

a = |a – 6|
b = 16 - |c|
c = |a – c|

(a) a < b < c
(b) c < a < b
(c) b < a < c
(d) a < c < b

Answer 1

To order the expressions from least to greatest, substitute the given values of a, b, and c into the expressions and simplify. The order from least to greatest is a < b < c.

Step-by-step explanation:

To order the expressions from least to greatest, we need to substitute the given values of a, b, and c into the expressions and simplify them.

Substituting a = 3, b = 13, and c = -10 into the expressions, we have:

a = |3 - 6| = |-3| = 3

b = 16 - |-10| = 16 - 10 = 6

c = |3 - (-10)| = |13| = 13

Therefore, the order from least to greatest is a < b < c. So, the correct answer is (a) a < b < c.