Question

can someone help me these logical reasoning questions pweez?(:

Answer 1

NUMBER 1
What is the disjunction of the following two statements?

Statement 1: Plums are purple.
Statement 2: Some shoes have shoelaces.

Plums are purple, or some shoes have shoelaces.

Plums are purple if and only if some shoes have shoelaces.

If plums are purple, then some shoes have shoelaces.

Plums are purple, and some shoes have shoelaces.

Answer 2

disjunction = OR

Answer 3

NUMBER 2
Which statement is logically equivalent to the following conditional statement?

If it has four sides, then it is not a hexagon.

If it does not have four sides, then it is not a hexagon.

If it does not have four sides, then it is a hexagon.

If it is a hexagon, then it does not have four sides.

If it is not a hexagon, then it has four sides

NUMBER 3
What is the contrapositive of the following statement?

“If it does not have four legs, then it is a fish.”

If it is a fish, then it does not have four legs.

If it has four legs, then it is not a fish.

If it is not a fish, then it has four legs.

If it does not have four legs, then it is not a fish.

NUMBER 4
What is the converse of the following statement?

“If cows make milk, then chickens make eggs.”

If chickens make eggs, then cows make milk.

If cows make milk, then chickens do not make eggs.

If cows do not make milk, then chickens do not make eggs.

If chickens do not make eggs, then cows do not make milk.

NUMBER 5
What is the conjunction of the following two statements?

Statement 1: A hexagon has six sides.
Statement 2: The angles within a quadrilateral add up to 360 degrees.

A hexagon has six sides, and the angles within a quadrilateral add up to 360 degrees.

A hexagon has six sides, or the angles within a quadrilateral add up to 360 degrees.

A hexagon has six sides if and only if the angles within a quadrilateral add up to 360 degrees.

If a hexagon has six sides, then the angles within a quadrilateral add up to 360 degrees.

NUMBER 6
What is the inverse of the following statement?

“If a shape has four sides, then it is not a triangle.”

If a shape has four sides, then it is a triangle.

If a shape is not a triangle, then it has four sides.

If a shape does not have four sides, then it is a triangle.

If a shape is a triangle, then it does not have four sides.

Answer 4

just join both the statements with OR

Answer 5

friend, one q at a time please... :)

Answer 6

lol okay so for #1 it would be A

Answer 7

yep you got that right !

Answer 8

#2 would be C right?

Answer 9

?

Answer 10

correct !

Answer 11

nd would #3 be C too?

Answer 12

yayyy!

Answer 13

#4 is A?

Answer 14

yes. contrapositive we just switch statements and negate. so you're like you already solved everything lol

Answer 15

yes #4 is A

Answer 16

@qweqwe123123123123111 ??

Answer 17

for #5 :- conjunction = AND

Answer 18

so its A

Answer 19

yes #5 = A

Answer 20

inverse you just negate the statements

Answer 21

B?

Answer 22

@ganeshie8

Answer 23

no, its C

Answer 24

ohh okay

Answer 25

statement : “If a shape has four sides, then it is not a triangle.”

inverse : if a shape DOES NOT have four sides, then it is A triangle

Answer 26

okay I get it

Answer 27

great :) its lil tricky to see that, not not A = A. once u see it its easy :)