1. prove the following:
if n2 is not divisible by 3, then n is not divisible by 3.
(a) what kind of proof will you use to show this fact (proof by contrapositive? proof by contradiction? direct proof? proof by cases? etc.)
(b) show the fact.
2. identify the problem in the following proof that if n2 is rational, then n is rational (note: that fact is not true. consider \sqrt{2} ).
suppose n2 is rational. then n2 = \frac{a^{2}}{b^{2}} , so n = \frac{a}{b} . thus n is rational.

answer: 590

step-by-step explanation:

i believe the answer is d.

hope it you! : d

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:

i hope this is what you were looking for.

see attached graph