Let A = {a, b, c}, B = {b, c, d}, and C = {b, c, e}. (a) Find A ∪ (B ∩ C), (A ∪ B) ∩ C, and (A ∪ B) ∩ (A ∪ C). (Enter your answe
wariber [46]
Answer:
(a)
(b)
(c)
<em>They are not equal</em>
<em></em>
Step-by-step explanation:
Given
Solving (a):
B n C means common elements between B and C;
So:
So:
u means union (without repetition)
So:
Using the illustrations of u and n, we have:
Solve the bracket
Substitute the value of set C
Apply intersection rule
In above:
Solving A u C, we have:
Apply union rule
So:
<u>The equal sets</u>
We have:
So, the equal sets are:
and
They both equal to 
So:
Solving (b):
So, we have:
Solve the bracket
Apply intersection rule
Solve the bracket
Apply union rule
Solve each bracket
Apply union rule
<u>The equal set</u>
We have:
So, the equal sets are:
and
They both equal to
So:
Solving (c):
This illustrates difference.
returns the elements in A and not B
Using that illustration, we have:
Solve the bracket
Similarly:
<em>They are not equal</em>
Answer:
Step-by-step explanation:
Given
Shape: Rectangle
Required
Determine the area of the rectangle;
Area is calculated as thus;
Substitute values for Length and Width
<em>Hence, the area of the rectangle is </em>
<em />
Step-by-step explanation:
First find the slope of the lines. If any two lines have a slope which is the negative reciprocal of each other then they're perpendicular
That is if two slopes m1×m2=-1 then m1=-1/m2 and m2#=-1/m1
Line 1 has slope -8
line 2 has slope -1/16
line 2 has slope -6
line 2 has slope 18
It appears none of the lines are perpendicular
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