Answer:
O U ⊆ A ∪ B True
O U ⊆ A ∩ B False
O A ∪ B ⊆ U True
O B ⊆ U True
O A ⊆ U True
O A ∩ B ⊆ U True
Step-by-step explanation:
To prove the first part

Remember that any set is a subset of the universal set. Therefore it is true that

Now, given any
it is true that

Now according to the information given initially

And then you know that

Therefore
and using double inclusion
.
Now using the information just exposed
O U ⊆ A ∪ B True
O U ⊆ A ∩ B False
O A ∪ B ⊆ U True
O B ⊆ U True
O A ⊆ U True
O A ∩ B ⊆ U True
Answer:
4
Step-by-step explanation:
x = -1
|2x-2| = |2(-1)-2| = |-2-2| = |-4| = 4
Answer:
y=2×+1 im a bit rusty hope this helps in some way
Answer:
6000 g
Step-by-step explanation:
In the metric system, 6 kg = 6000 g. (The prefix kilo- means 1000.)
__
In other units of measurement, 6 kg ≈ 13.2277357311 pounds. This is not an exact conversion.
Interesting that only integrals along the
-axis are suggested when integrating along the
-axis would be much simpler... Anyway, you have to split the interval of integration into two. The "height" of the region is not uniform over the entire interval.
When
, we have
. When
, we have
. Then the area we want is given by

which seems to agree with the last option.