1.
<span>{a, e, i, o}
</span>{a} , {e} , {i} , {o} , {a,e} , {a,i} , {a,o} , {e,i} , {e,o} , {i,o} , {a,e,i} , {a,e,o} , {a,i,o}
2.
<span>{0, 1, 2}
</span>{0} , {1} , {2} , {0,1} , {0,2} , {1,2}
3.
<span>Suppose U = {1, 2, 3, 4, 5} is the universal set and A = {2, 3}. What is A ?
Well "A" is {2, 3}, but I'm guessing you meant A'.
A' is all the numbers you don't see, which is
{1, 4, 5}
4.
</span><span>Suppose U={1, 2, 3, 4, 5, 6, 7, 8} is the universal set and P={2,4, 6, 8}. What is P?
Again, "P" is just {2,4, 6, 8}, but P' is all the numbers you don't see, which are all prime numbers in this sequence:
{1, 3, 5, 7}
5.
</span><span>-4 < k + 3 < 8
subtract 3 from all sides
-7 < k < 5
6.
</span><span> 5 <= y + 2 <= 11
subtract 2 from all sides
3 <= y <= 9
7.
</span><span>6b - 1 < -7 or 2b + 1 > 5
solve both
</span>6b - 1 < -7
add both sides by 1
6b < -6
divide both sides by 6
b < -1
now do the other problem
2b + 1 > 5
subtract both sides by 1
2b > 4
divide both sides by 2
b > 2
answer: b < -1 or b > 2
<span>8.
5 + m > 4 or 7m < -35
subtract both sides by 5 |or| divide both sides by 7
m > -5 or m < -5
m = -5</span>
Answer:
Rational:
Square root of 81
2 1/3
3.4
-9
- 3/10
Irrational:
3.3333333...
Step-by-step explanation:
Rational numbers terminate or end, irrational don't.
Answer:
22 feet
Step-by-step explanation:
Here is equation
(2 · 1 · 3) + (2 · 1 · 2) + (2 · 3 · 2)
So, I solved using PEMDAS
6 + 4 + 12 = 22
Answer:
32 laps
Step-by-step explanation:
If each mile is 1600 meters, she will need to run 4 laps per mile. To run 8 miles, multiple the laps for one mile (4) by the total number of miles (8) to get the total laps necessary (32).
Hope this helps!