Can someone help me with this? thank you!
1 answer:
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Answer:
A) The set builder notation is: {n | n∈Z, 1≤n≤7}.
B) The set builder notation is:
C) The set builder notation is:
D) The set builder notation can be:
Step-by-step explanation:
Consider the provided information,
We need to use set-builder notation to describe the following sets.
(a) {1,2,3,4,5,6,7}
Here, the number are integer starting from 1 to 7.
Thus, the set builder notation is: {n | n∈Z, 1≤n≤7}.
(b) {1, 10, 100, 1000, 10000}
The above set can be written as:
Thus, the set builder notation is:
(c) {1, 1/2, 1/3, 1/4, 1/5, ...}
Here the numerator is 1 for each term but denominator is natural number.
Thus, the set builder notation is:
(d) {0}
The set builder notation can be:
7π/12 lies in the second quadrant, so we expect cos(7π/12) to be negative.
Recall that
which tells us
Now,
and so