<h3>Given</h3>
- Set A: A = {-26, -25, -24, -23, - 22, - 21}
- Set B: B ∈ {x: x is even, x ≥ 6 and x ≤ 20}
<h3>(a) </h3>
<em />
<em>Cardinality means the number of elements in the set.</em>
Cardinality of the set A:
n(A) = 6, since we can count 6 elements.
Set B has even numbers between 6 and 20, both included:
- B = {6, 8, 10, 12, 14, 16, 18, 20}
Then its cardinality is:
<h3>(b) </h3>
To solve this we need to compare the elements of sets A or B with numbers given:
- -22 ∈ A, True ⇒ -22 is listed as element of A
- 6 ∈ B, True ⇒ 6 is listed as element of B
- - 21 ∉ A, False ⇒ - 21 is listed as element of A
- 2 ∈ B, False ⇒ 2 is not listed as element of B
Answer:
none
Step-by-step explanation:
to solve this equation we would say that
let
x + y = 5 .............................. equation 1
x + y = 6 .................................... equation 2
from equation 2
x + y = 6 .................................... equation 2
x = 6 -y...................................... equation 3
substitute for x into equation 1
x + y = 5 .............................. equation 1
6 - y + y = 5
from here this equation cannot be solved further therefore it has no solution.
Answer:
<u>The correct answer is D. 53x - 12</u>
Step-by-step explanation:
Let's find P(x), this way:
Profits = Revenue - Cost
Profit function = Revenue function - Cost function
P (x) = R (x) - C (x)
Replacing with the real values we have:
P (x) = 60x - (12 + 7x)
P (x) = 60x - 12 - 7x
P (x) = 53x - 12
<u>The correct answer is D. 53x - 12</u>
