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Answer:
15 is the total number of animals for which (p ∨ q) ∧ r true.
Step-by-step explanation:
From the diagram it is clear that
p contains {2, 5, 8, 9}
q contains {2, 4, 7, 5}
r contains {2, 4, 6, 9}
p ∨ q is the union of p and q which include all the animals which are in p, in q, or in both p and q.
Note: p ∨ q can not have duplicate animals
So,
p ∨ q = {2, 4, 5, 7, 8, 9}
(p ∨ q) ∧ r contains the animals which need to be common in both (p ∨ q) and r.
As
p ∨ q = {2, 4, 5, 7, 8, 9}
r = {2, 4, 6, 9}
So,
(p ∨ q) ∧ r = {2, 4, 9}
As
Therefore, 15 is the total number of animals for which (p ∨ q) ∧ r true.
Keywords: union, and operation, or operation
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Answer:
The number of clarinets musical store sold was 16. and number of trumpets musical store sold was 11.
Step-by-step explanation:
Let the musical store sells 'x' number of trumpets and 'y' number of clarinets.
According to question,
Total number of trumpets and clarinets sold is 27 that is
..............(1)
Also given Trumpets cost $149 and clarinets cost $99.
then the shop sold x trumpets for $149x and sold y clarinets for $99y and total sales were $3233.
thus, ...........(2)
Solving for equation (1) and (2),
Multiply equation (1) by 149 , we get
(1) ⇒ ........(3)
Now, subtract equation (3) from equation (2) , we get
Thus, number of clarinets musical store sold was 15.8 but since clarinets are to be in whole number rounding off to the nearest integer 16.
and put y = 16 in (1) , we get
Thus, number of trumpets musical store sold was 11.