How to compare 2 5/9 and 21/3

2 5/9 is less than 21/3;  2 5/9 < 21/3

Step-by-step explanation:

Step 1:  Convert 2 5/9 into an improper fraction

2 5/9 = 2 * 9/9 + 5/9 = 18/9 + 5/9 = 23/9

Step 2:  Convert 21/3 so the denominator is 9

21*3 / 3*3 = 63/9

Step 3:  Compare

23/9 < 63/9

 2 5/9 is less than 21/3;  2 5/9 < 21/3

3.how is solving radical equations different than solving linear equations?

step-by-step explanation:

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: