Answer: -7/12
Step-by-step explanation: an number multiplied by 1 is itself
1) Midpoint : (7/2,1/2), Quadrant 1
2. Midpoint: (5,1/2), Quadrant 2
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Answer= $138.98
47.86-25.20+52.75-22.04-8.50+94.11=$138.98
It would be 6 x 6 x 6, since the number cube has six sides and it was thrown 3 times.
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.