Help please explanation and thank you!

D

Step-by-step explanation:

A: The sum of Y and H is +. If the scale is correct, this is not true. Y is further away from 0 than H is. Suppose H = 5 and Y = -7. Then Y + H = 5 + -7 = - 2

B: E and Y area both minus. The minus signs cancel. Therefore the answer will be + B is wrong.

C: H>0 and E<0. A negative times a positive is a negative not a positive. C is wrong

D: A - H Suppose A = 2 and H = 5 . Then A - H = 2 - 5 which is - 3

This is your answer.

The reason is that H is further from the 0 than A is.

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3

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: