Nadia built a robot to filter air and water efficiently. she expects the robot to filter more than 343 liters of air and water while using less than 49 joules of energy. 12a+8w > 343 represents the number of minutes the robot filters air a and water w to filter more than 343 liters of air and water. 3a+4w < 49presents the number of minutes the robot filters air and water while using less than 49 joules of energy. does the robot meet both of nadia's expectations by filtering air for 20 minutes and filtering water for 15 minutes?

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: