Why is the addictive inverse of a positive number negative

See below.

Step-by-step explanation:

The additive inverse is the number which added to it will make 0. Since a positive and a negative are like have $1 and in debt $-1, when added together they make 0. Every negative number has a positive number which makes it 0 and so does every positive number have a negative number which makes it 0.

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:

it would rotate about 180 degrees.