The domain of a sequence can include decimals and irrational numbers.

No, that's not true.  The input variable of a sequence is called the index, which is a counter, such as 1, 2, 3, 4, ...   Note that all of these counters are positive integers.  Normallly I use index i = 1 to denote the first term of a sequence, i = 2 the second term, and so on.

Decimals and irrational numbers are completely unsuitable for serving as such counters.

$32,660

step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: