math week 3 quiz

Math 1002 Week Quiz

Assignment 3 : Quiz

By Day 6 of the lesson week , complete the quiz and submit directly to the Dropbox

1 (2 pts ) Write the negation for the statement below

No one in the family eats rhubarb

Negation

Someone in the family eats rhubarb

2 (2 pts ) Let

, q , and r be the following statements

p : Mike is sailing

q : Alice is on vacation

r : Sam is in town

Translate the following statement into English (p ( q (r

If Mike is sailing or

Alice is not on vacation then Sam is not in town

3 (2 pts ) Write the following compound statement in symbolic form

Let

: Today is Monday

q : Tomorrow is the day Sara leaves

If tomorrow is not the day Sara leaves , then today is Monday q (

p 4 (4 pts ) Construct a truth table for (p ( q

p q

( q (p ( q

T T T F

T F T F

F T T F

F F F T 5 (3 pts ) Write the converse , inverse , and contrapositive of the following conditional statement

If a dog is barking , then it will not bite Converse : If a dog will not bite it is barking

Inverse : If a dog is not barking then it will bite

Contrapsoitive : If a dog will bite then it is not barking

6 (5 pts ) Determine whether the argument is valid or invalid A tree has green leaves or the tree does not produce oxygen

This tree has green...