Given a={1,3,4,6} and b={2,3,5,6}, what is a b

A ∪ B = {1, 2, 3, 4, 5, 6}

A ∩ B = {3, 6}

A - B = {1, 4}

B - A = {2, 5}

Completing the statement and the question:

Like we don't see any logical operator between A and B, we will use the 3 most frequently used:

Union

Intersection

Difference

Step-by-step explanation:

1. Union of set A and set B

The union of sets A and B, denoted by A ∪ B , is the set defined as all the elements of A and all the elements of B. If there are common elements, we write them just once.

A ∪ B = {1, 2, 3, 4, 5, 6}

2. Intersection of set A and set B

The intersection of sets A and B, denoted by A ∩ B , is the set defined as all the elements that are common to A and B.

A ∩ B = {3, 6}

3. Difference

The difference of sets A and B, denoted by A - B , is the set of all elements of A that are not elements of B.

A - B = {1, 4}

We can also find B - A, that is the set of all elements of B that are not elements of A.

B - A = {2, 5}

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

cheater

step-by-step explanation: