
Concept explainers
(a)
To list: the natural numbers from the given set.
(a)

Answer to Problem 6E
The natural numbers are
Explanation of Solution
Given information:
A set is given as
Calculation:
Natural numbers are all whole numbers and positive numbers excluding zero.
Consider the given set.
Now,
Here, the natural numbers are
(b)
To list: the integers from the given set.
(b)

Answer to Problem 6E
The integers are
Explanation of Solution
Given information:
A set is given as
Calculation:
Integers are all positive and negative whole numbers including zero.
Consider the given set.
Now,
Here, the integers are
(c)
To list: the rational numbers from the given set.
(c)

Answer to Problem 6E
The rational numbers are
Explanation of Solution
Given information:
A set is given as
Calculation:
Rational numbers are all positive and negative whole numbers, fraction, repeating and recurring decimal expression including zero.
Consider the given set.
Here, the rational numbers are
(d)
To list: the irrational numbers from the given set.
(d)

Answer to Problem 6E
The irrational numbers is
Explanation of Solution
Given information:
A set is given as
Calculation:
Irrational numbers are all real numbers except the rational number.
Rational numbers are all positive and negative whole numbers, fraction, repeating and recurring decimal expression including zero.
Consider the given set.
Here, the irrational numberis
Chapter 1 Solutions
EBK PRECALCULUS: MATHEMATICS FOR CALCUL
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- Use 12.4.2 to determine whether the infinite series on the right side of equation 12.6.5, 12.6.6 and 12.6.7 converges for every real number x.arrow_forwarduse Cauchy Mean-Value Theorem to derive Corollary 12.6.2, and then derive 12.6.3arrow_forwardExplain the focus and reasons for establishment of 12.5.4arrow_forward
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