First of all, let's explain the term
relation. Many everyday phenomena involve two quantities that can be related to each other by some rule of correspondence. In mathematics the term for such a rule of correspondence is called
relation. Relations are often represented by mathematical equations and formulas.
Suppose you have a set A and a set B, so if a relation assigns to each element

in the set A exactly one element

in the set B, then the function

is in fact that relation.
Answer:
Where are the questions....?
Step-by-step explanation:
divide 3.5 by 5.0 (3.5 ÷ 5.0 = 0.7), then multiply 0.7 by 15.0 (0.7 × 15.0 = 10.5), and check by dividing (10.5 ÷ 15.0 = 7.0) the answer is 10.5
Part (a)
<h3>
Answer: Ø</h3>
This is the empty set
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Explanation:
It doesn't matter what set A is composed of. Intersecting any set with the empty set Ø will always result in the empty set.
This is because we're asking the question: "What does some set A and the empty set have in common?". The answer of course being "nothing" because there's nothing in Ø. Not even the value zero is in this set.
We can write Ø as { } which is a set of curly braces with nothing inside it.
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Part (b)
<h3>Answer: {1,2,3,4,5,6}</h3>
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Explanation:
When you union the universal set with any other set, you'll get the universal set.
The rule is
where I've made B the universal set to avoid confusion of the letter U and the union symbol
which looks nearly identical.
Why does this rule work? Well if an item is in set
, then it's automatically in set U (everything is in set U; it's the universe). So we're not adding anything to the universe when applying a union involving this largest set.
It's like saying
- A = set of stuff inside a persons house
= set of stuff outside a persons house (ie stuff that is not in set A)- U = set of every item
we can see that
will basically form the set of every item, aka the universal set.
It would be 4 kg. Explanation: Bc each kg is .5 when rounded so u take .5 and multiply it by 8lbs