
The GCF of 92 and 100 is 4.
Answer:
A number line going from 27 to 37, open circle at 32, everything to the right is shaded
Step-by-step explanation:
-1/2p < -16
multiply each side by -2 (don't forget to switch inequality symbol)
p > 32
Answer:

Step-by-step explanation:

Answer:
Prove set equality by showing that for any element
,
if and only if
.
Example:
.
.
.
.
.
Step-by-step explanation:
Proof for
for any element
:
Assume that
. Thus,
and
.
Since
, either
or
(or both.)
- If
, then combined with
,
. - Similarly, if
, then combined with
,
.
Thus, either
or
(or both.)
Therefore,
as required.
Proof for
:
Assume that
. Thus, either
or
(or both.)
- If
, then
and
. Notice that
since the contrapositive of that statement,
, is true. Therefore,
and thus
. - Otherwise, if
, then
and
. Similarly,
implies
. Therefore,
.
Either way,
.
Therefore,
implies
, as required.