Which inequality represents the situation that you must read for a minimum of 20 minutes every night. x = 20
x ≥ 20
x ≤ 20

The correct answer is x 20

Step-by-step explanation:

You need to read for a minimum of 20 minutes every night, which means you can read for 20 minutes or more.

The first option can't be correct because that would mean you only read for 20 minutes.

The third option can't be correct because means less than or equal to, and you can't read less than 20 minutes.

Therefore, the second option is correct because means greater than or equal to, giving you a minimum of 20 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: