Which of the points are solutions to the inequality?
1 answer:
Answer:
<h2>(0,1) and (2,5).</h2>Step-by-step explanation:
The graph of the inequality is attached.
Remember, a solution of an inequality is a point on the shaded region. Also, it must satisfy the inequality expression
From the graph we know the possible answers are (0, 1) and (2, 5), let's prove it.
<h3>For (0, 1):</h3>Which is true, so (0, 1) is solution.
<h3>For (2, 5):</h3>Which is true, so (2, 5) is solution.
Therefore, the solutions are (0,1) and (2,5).
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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: