n lectures we learnt about writing sets using dummy variables satisfying certain conditions, perhaps vith some operation applied to the dummy variables. For example, {x €N : 3|x} s the set of natural numbers divisible by 3, and {x? : x € Z} s the set of square integers. Nrite each of the following sets using conditions in this way. (a) {2,4,8, 16, 32, ...}. (b) {-2,4, –8, 16, –32, ...}. -b+ yb - 4ac -b- V - 4ac (c) =}. (Assume that a, b, c are real numbers satisfying a + 0 and 2a 2a b² – 4ac > 0.) (d) The open interval in R with endpoints 1 and 3. (e) The possible lengths of the hypotenuse of a right-angled triangle in which the short sides add up to 10. (1) The possible numbers of Chicken McNuggets you can buy. (Chicken McNuggets come in boxes of 6, 9 or 20; so for example you can buy 26 of them (20 + 6) but you can't buy 25.)

Suppose you want to refute the statement: There are some natural numbers a, b, and c where a | b and b | c but a does not divide c.  Which of the following would be an appropriate strategy for you to employ? Group of answer choices Show specific values for a, b, and c where a | b and b | c and a | c. Show specific values for a, b, and c where a does not divide b and b does not divide c, but a | c. Show for any generic choices of a, b, and c that if a | b and b | c then a | c. Show for any generic choices of a, b, and c if a does not divide b and b does not divide c then a does not divide c.

Pls help ASAP

Would enjoy the help.

Draw circuit for the following expression !xy(!x+y)(x+y+!z)

The question is in the screenshot. Please show steps of operations. Thanks