(treat
as one element of
)
The power set of is
1. is true because both
and
.
2. is true.
3. is true (same reason as part 1).
4. is false because
does not contain the set
, rather just the element
itself.
5. is false because the element
on its own simply is not in
. That
does not mean
, but that
belongs to a subset of
.
6. is true.
Answer:
12 pieces each:
Step-by-step explanation:
Given
-- first string
--- second string
Required
Determine the number of equal pieces
To do this, we first calculate the HCF of the length of both pieces
The HCF is:
<em>Hence, he can cut both strings to 12 pieces each</em>
<em></em>
<em>Recall that </em>
<em>The first string can then be cut in to 3 inches each (i.e. 36/12)</em>
<em>The first string can then be cut in to 4 inches each (i.e. 48/12)</em>