:( the sum of two numbers is 82. their difference is 24. write a system of equations that describes this situation. solve by elimination to find the two numbers. x + y = 24 y – x = 82 48 and 30 x + y = 82 x – y = 24 48 and 24 x – y = 82 x + y = 24 52 and 30 x + y = 82 x – y = 24 53 and 29

x + y = 82
x – y = 24
53 and 29

53 +29 = 82

53-24 = 29

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:

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