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.
Answer:
x= -1
Step-by-step explanation:
<u><em>START</em></u> 29 - 6x = 5(1 - 6x)
1. Distribute
29 - 6x = 5 - 30x
2. Isolate the variable
~ <u>2a</u>. Add 30x to both sides
29 - 6x + 30x = 5 - 30x + 30x
~ <u>2b</u>. Subtract 29 from both sides
29 - 29 - 6x + 30x = 5 - 29 - 30x + 30x
3. Simplify
24x = -24
4. Solve
x = -1
<em><u>END</u></em>
Answer:
i think it's 15 because if you use 5 and you have to do it by 3 it should be 15
Answer:
40 years
Step-by-step explanation:
He was also the first Roman Emperor
Your answer would be :A
Explanation: He claims to have had 9 sales “per day” for the week. When really it was only for 2 days. That being Thursday and Tuesday! The Mode number of the sales is 9; which is only higher from most of the days.
I hope this helps. Let me know if I am wrong plz. It’s 1 in the morning for me right now. Lol Have a blessed day bud.