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write the contrapositive for each of the following statementsa if n is prime then n is not divisible by any prime
for each statement in the referenced exercise write the converse inverse and contrapositive indicate as best as you can
let c be the set of cities in the world let n be the set of nations in the world and let pc n be c is the capital city
rewrite each statement in if-then formearning a grade of c- in this course is a sufficient condition for it to count
division equations paula is baking peach pies for a bake sale each pie requires 2 pounds of peaches she bakes 6 pies
lets generalize problem 6 to a regional ultimate frisbee tournament where there are n teams attending teams are
some of the players decide to form temporary teams in an arbitrary way they put royal blue and lime green armbands into
1 some people heading to a party stop by the ice-cream store to buy quarts of ice cream how many orders of three quarts
another terminology alert we call the notation ab an ordered pair and abc an ordered triple and yes we call abn an
lets also generalize problems 2 and 3 to a more reasonable ice-cream store there are still three kinds of cones the
terminology alert we write finite sets as lists of their members also called elements for example 2357 is an excellent
1 gelly roll pens come in 6 colors of fine point and 11 of medium point 10 moonlight colors 10 shadow colors 12
1 bruno burgers specialty is you guessed it burgers they offer four different burger patties chicken fish soy and
1 a local creperie offers sweet crepes and savory crepes a sweet crepe could have any fruit banana strawberry mango
1 prove that every odd number n ends in 1 in its binary representation2 scary clown offers a sad meal containing a
and more about the library more realistically some disciplines use materials in more differing forms than others lets
1 prove that if n is even then -1n 12 how many different seven-digit phone numbers are there3 how many different
1 prove that if n is any integer then 3n3 n 5 is odd suggestion do one case for n odd and one case for n even2 a
on route i-91 near springfield ma there is sometimes a sign that says wash your boat pause after use pause explain why
1 again using truth tables verify that the converse and inverse statements are logically equivalent2 give a
1 compare the result of this truth table to your original idea if they agree explain how they are compatible if they do
1 in a small group exchange your decisions and share your reasoning justify your decisions and collaborate from here on
1 prove that if there are ten ducks paddling in four ponds then some pond must contain at least three paddling ducks
here are demorgans laws given in logic notation notp or q is logically equivalent to notpand notq and notpand q is
1 write the contrapositive of the statement if the maple tree is orange then the scissors are closed2 using truth