If U = {−1, 0, 1, 14, 15, 16}, A = {1, 14, 16}, and B = {−1, 0, 14} find the following. (Enter your answers as a comma-separated list.)
(a)
A'

(b)
B'

(c)
(A ∪ B)'

(d)
(A ∩ B)'

Step-by-step explanation:

A'

If A is subset of a given set U, then A' (the complement of a set A) is the set of elements in U but not in A.

A ∪ B

The union of A and B is the set of all things that are in A or B.

A ∩ B

The intersection A and B is the set of all things that are in both A and B.

U = {-1, 0, 1, 14, 15, 16}

A = {1, 14, 16}

B = {-1, 0, 14}

(a) A' = {-1, 0, 15}

(b) B' = {1, 15, 16}

(c) (A ∪ B)'

A ∪ B = {-1, 0, 1, 14, 16}

(A ∪ B)' = {15}

(d) (A ∩ B)'

A ∩ B = {14}

(A ∩ B)' = {-1, 0, 1, 15, 16}

i dont know

step-by-step explanation:

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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