If two sets are disjoint, then what region represents the union of their complements in a venn diagram?

The union of the complements is equal to the universal set, this is the whole region in the Venn diagram.

Step-by-step explanation:

Two sets are disjoint if they do not share any element, so if the sets are A and B we would have that:

A∩B = {∅}

the intersection between two disjoint sets is equal to the empty set.

now, as they are disjoint, we will have that the complement of A ; Ac, contains all the values of B (and all the other things that do not belong to A), and the complement of B,   Bc contains all the components of A (and all the other elements thta do not belong to B).

Then when we calculate Ac∪Bc we are including:

All the values of B  

All the values that are not in A

All the values of A

All the values that are not in B.

So the union of the complements is the universal set (the whole Venn diagram)

c: y > - 1/6x + 1

step-by-step explanation:

dashed line - meaning this < or > also not equal

solid line - meaning this < or > also equal

your answer is c because y > means up & it's shaded up, but y < means down

hope this ! : )

the answer is d

step-by-step explanation: