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Korolek [52]
3 years ago
9

How to Simplify. (–21 × 3) + (15 ÷ –3)

Mathematics
1 answer:
vladimir2022 [97]3 years ago
5 0

Answer:

-68 is your answer

Step-by-step explanation:

Remember to follow PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction)

First, solve each parenthesis

(-21 x 3) = -63

(15/-3) = -5

Next, add

(-63) + (-5) = -63 - 5 = -68

-68 is your answer

~

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Given that set A has 48 elements and set B has 21 elements, determine each of the following. (a) The maximum possible number of
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(a) To determine the maximum possible number of elements in A ∪ B.

If the sets A and B are disjoint, that is they do not have any common element. Then, A ∩ B = { }   ⇒   n(A ∩ B) = 0.

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(b) To determine the minimum possible number of elements in A ∪ B.

If the set B is a subset of set A, that is all the elements of set B are present in set A. Then,  n(A ∩ B) = 21.

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n(A\cup B)=n(A)+n(B)-n(A\cap B)=48+21-21=48.

So, the minimum possible number of elements in  A ∪ B is 21.

(c) To determine the maximum possible number of elements in A ∩ B.

If the set B is a subset of set A, that is all the elements of set B are present in set A. Then, n(A ∩ B) = 21.

So, the maximum possible number of elements in  A ∩ B is 21.

(d) To determine the minimum possible number of elements in A ∩ B.

If the sets A and B are disjoint, that is there is no common element in the sets A and B . Then,  n(A ∩ B) = 0.

So, the maximum possible number of elements in  A ∩ B is 0.

Thus, the required answers are

(a) 69,  (b) 21,  (c) 21  and  (d) 0.

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