Afence is being built to go around a play area for young children. the builder
plans to use 138 feet of fencing material to build the fence. he must follow these
directions when putting up the fence:
• the play area must be rectangular.
• the width of the fence must be shorter than the length by 10 feet or less.
• the length and width, in feet, must be whole numbers.
list all the possible lengths and widths for the fenced-in, rectangular areas.
explain how you found your answers.

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: