Which of the following expressions represent the distance between -6 and 7 on the number line?

C

Step-by-step explanation:

The lines mean the distance away from 0. When i say lines, I mean the two "l" that accompany the numbers. I forgot what there called (good job me).

Since we want to know how far apart they are, we need to add them.

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: