Function

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What is the set of numbers that includes 0, 1, 2, 3, and so on?

Set of rational numbers

Set of imaginary numbers

Set of non-negative integers (correct)

Set of positive real numbers

What is an example of related quantities?

Height and weight of a person

Area and radius of a circle (correct)

Time and temperature of a day

All of the above

What are the quantities that are neither rational nor irrational?

Infinity (correct)

Prime numbers

Negative real numbers

Imaginary numbers

What is the value of |–4.57|?

–5 Signup and view all the answers

What is the value of [1.34]?

1 Signup and view all the answers

What is the value of {4.92}?

0.92 Signup and view all the answers

Which of the following is a property of the absolute value function?

|x| ≥ x Signup and view all the answers

What is the relationship between |x| and |–x|?

|x| = |–x| Signup and view all the answers

What is the set of real numbers denoted by?

R Signup and view all the answers

What type of numbers are those which can be expressed in the form of p/q where p and q are integers and q ≠ 0?

Rational numbers Signup and view all the answers

What is the set of positive integers denoted by?

I+ Signup and view all the answers

What is the complement of the set of rational numbers denoted by?

Qc Signup and view all the answers

What does |x| represent?

The maximum of x and –x Signup and view all the answers

What is the property of absolute value represented by |xy| = |x||y|?

Multiplicativity Signup and view all the answers

What is the property of absolute value represented by |x| ≥ a if and only if x ≥ a or x ≤ –a?

Triangle Inequality Signup and view all the answers

What is the property of absolute value represented by |x| ≤ a if and only if –a ≤ x ≤ a?

Non-Negativity Signup and view all the answers

What is the relationship between [x] and {x}?

[x] + {x} = x Signup and view all the answers

What is the property of absolute value represented by |x ± y| ≤ |x| + |y|?

Triangle Inequality Signup and view all the answers

What is the value of [–4.57]?

-5 Signup and view all the answers

What is the value of {5.23}?

0.23 Signup and view all the answers

What is the relation between |x| and x in the interval 0 ≤ x?

x = |x| Signup and view all the answers

What is the meaning of [x] in mathematics?

The greatest integer less than or equal to x Signup and view all the answers

Which of the following is a property of the absolute value function?

|x + y| ≤ |x| + |y| Signup and view all the answers

What is the relation between {x} and x in the interval 0 ≤ x?

x = {x} + [x] Signup and view all the answers

What is the range of the fractional part of a number?

0 ≤ {x} < 1 Signup and view all the answers

What is the value of [x] if x = 3.14?

3 Signup and view all the answers

What is the value of |x| if x = -5?

5 Signup and view all the answers

What is the relation between |x| and |y| if x = y?

|x| = |y| Signup and view all the answers

What is the value of {x} if x = 2.71?

0.71 Signup and view all the answers

What is the value of [x] if x = -2.5?

-3 Signup and view all the answers

Function

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Questions and Answers

What is the set of numbers that includes 0, 1, 2, 3, and so on?

What is an example of related quantities?

What are the quantities that are neither rational nor irrational?

What is the value of |–4.57|?

What is the value of [1.34]?

What is the value of {4.92}?

Which of the following is a property of the absolute value function?

What is the relationship between |x| and |–x|?

What is the set of real numbers denoted by?

What type of numbers are those which can be expressed in the form of p/q where p and q are integers and q ≠ 0?

What is the set of positive integers denoted by?

What is the complement of the set of rational numbers denoted by?

What does |x| represent?

What is the property of absolute value represented by |xy| = |x||y|?

What is the property of absolute value represented by |x| ≥ a if and only if x ≥ a or x ≤ –a?

What is the property of absolute value represented by |x| ≤ a if and only if –a ≤ x ≤ a?

What is the relationship between [x] and {x}?

What is the property of absolute value represented by |x ± y| ≤ |x| + |y|?

What is the value of [–4.57]?

What is the value of {5.23}?

What is the relation between |x| and x in the interval 0 ≤ x?

What is the meaning of [x] in mathematics?

Which of the following is a property of the absolute value function?

What is the relation between {x} and x in the interval 0 ≤ x?

What is the range of the fractional part of a number?

What is the value of [x] if x = 3.14?

What is the value of |x| if x = -5?

What is the relation between |x| and |y| if x = y?

What is the value of {x} if x = 2.71?

What is the value of [x] if x = -2.5?

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