zoey made 5 1/2 cups of trail mix for a camping trip. she wants to divide the trail mix into 3/4 cup servings. ten people are go
ing on the camping trip, cam zoey make enough 3/4 cup servings so that each person on the trip has one serving. plz i need these answers asap on the pic. # 13, a., b., and c.
2 answers:
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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
since the contrapositive of that statement,
, is true. Therefore,
and thus
.
- Otherwise, if
, then
implies
Either way, .
Therefore, implies
, as required.