Find the number of elements in A1 ∪A2 ∪A3 if there are 100 elements in A1, 1000 in A2, and 10,000 in A3 if a) A1 ⊆ A2 and A2 ⊆ A
1 answer:
Answer:
Step-by-step explanation:
Given that there are 3 sets such that there are 100 elements in A1, 1000 in A2, and 10,000 in A3
a) If A1 ⊆ A2 and A2 ⊆ A3
then union will contain the same number of elements as that of A3
i.e.
b) If the sets are pairwise disjoint.
union will contain the sum of elements of each set
c) If there are two elements common to each pair of sets and one element in all three sets
We subtract common elements pairwise and add common element in 3
i.e.
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Answer:
The legs are 1.9 feet long
And the base is 1.1 feet long.
Step-by-step explanation:
Firstly, you need to find the value of x.
You need to add all the sides together:
2x - 0.3 + 2x - 0.3 + x
Simplified =
5x - 0.6
And this equals 4.9:
5x - 0.6 = 4.9
Next, you need to move the -0.6 over to the other side, making sure to make it a positive:
5x = 4.9 + 0.6
5x = 5.5
Now divide each side by 5:
x = 1.1
As the image is unclear of what side you are finding the length of:
2x - 0.3 = 1.9 feet long
And the base is 1.1 feet long.
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