Determine the truth value of the following conjecture. if the conjecture is false, provide a counterexample. given: y = |3x+7| conjecture: y is always even. a. true b. false; absolute value of anything is always odd c. false; when x = –3, y is odd d. false; when x = 2, y is odd

For this case we have the following function:
 y = | 3x + 7 |
 We observe that the proposition "y is always even" is false.
 To prove it, it is sufficient to evaluate the function for x = 2.
 Evaluating the function we have:
 y = | 3 (2) +7 |
 Rewriting we have:
 y = | 6 + 7 |
 y = | 13 |
 y = 13
 We observe that the value of y is odd.
 
 D.
 false; when x = 2, y is odd

Ithink the answer is a