SSS2 Math Quiz 9.3 – Comparison of mean, median, and mode

What is the set builder notation for the set of all positive even numbers?

{x | x is even}

Correct Incorrect Correct answer

{x | x is even and x > 0}

Correct Incorrect Correct answer

{x | x is even and x < 0}

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{x | x is positive}

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Which of the following represents the set of all multiples of 7?

{x | x is a multiple of 7}

Correct Incorrect Correct answer

{x | x is divisible by 7}

Correct Incorrect Correct answer

{x | x is a factor of 7}

Correct Incorrect Correct answer

{x | x is a multiple of 7 and x > 0}

Correct Incorrect Correct answer

What is the set builder notation for the set of all integers between -5 and 5?

{x | -5 < x < 5}

Correct Incorrect Correct answer

{x | -5 ≤ x ≤ 5}

Correct Incorrect Correct answer

{x | -5 ≤ x < 5}

Correct Incorrect Correct answer

{x | -5 < x ≤ 5}

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Express the set of all consonants in the English alphabet using set builder notation.

{x | x is a consonant}

Correct Incorrect Correct answer

{x | x is not a vowel}

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{x | x is a letter}

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{x | x is a consonant and x is a vowel}

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What is the set builder notation for the set of all multiples of 3 greater than 10?

{x | x > 10 and x is a multiple of 3}

Correct Incorrect Correct answer

{x | x is a multiple of 3 and x > 10}

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{x | x > 10 and x ÷ 3 has no remainder}

Correct Incorrect Correct answer

{x | x > 10 and x is divisible by 3}

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Which of the following represents the set of all prime numbers?

{x | x is divisible by 1}

Correct Incorrect Correct answer

{x | x is divisible by 1 and x is not divisible by any other number except 1 and itself}

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{x | x is divisible by 1 and itself}

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{x | x is not divisible by 1}

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What is the set builder notation for the set of all positive integers less than 10?

{x | x > 10}

Correct Incorrect Correct answer

{x | x < 10}

Correct Incorrect Correct answer

{x | x > 0 and x < 10}

Correct Incorrect Correct answer

{x | x > 0}

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Express the set of all perfect squares using set builder notation.

{x | x is a perfect square}

Correct Incorrect Correct answer

{x | x^2 is a perfect square}

Correct Incorrect Correct answer

{x | x is a square root}

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{x | x is a square of an integer}

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What is the set builder notation for the set of all integers?

{x | x is an integer}

Correct Incorrect Correct answer

{x | x is a real number}

Correct Incorrect Correct answer

{x | x is a rational number}

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{x | x is a whole number}

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Represent the set of all multiples of 5 using set builder notation.

{x | x is divisible by 5}

Correct Incorrect Correct answer

{x | x is a factor of 5}

Correct Incorrect Correct answer

{x | x is a multiple of 5 and x > 0}

Correct Incorrect Correct answer

{x | x is greater than 5}

Correct Incorrect Correct answer

1. Which of the following represents the set of all real numbers greater than or equal to -3 and less than 5?

{x | -3 ≤ x < 5}

Correct Incorrect Correct answer

{x | -3 < x ≤ 5}

Correct Incorrect Correct answer

{x | -3 ≤ x ≤ 5}

Correct Incorrect Correct answer

{x | -3 < x < 5}

Correct Incorrect Correct answer

2. What is the set builder notation for the set of all integers that are multiples of both 3 and 5?

{x | x is divisible by 3 and 5}

Correct Incorrect Correct answer

{x | x is divisible by 15}

Correct Incorrect Correct answer

{x | x is a common multiple of 3 and 5}

Correct Incorrect Correct answer

{x | x is divisible by 3 or 5}

Correct Incorrect Correct answer

3. Express the set of all rational numbers between -1 and 1 using set builder notation.

{x | -1 < x < 1 and x is rational}

Correct Incorrect Correct answer

{x | -1 ≤ x ≤ 1 and x is rational}

Correct Incorrect Correct answer

{x | -1 < x < 1 and x is irrational}

Correct Incorrect Correct answer

{x | -1 ≤ x < 1 and x is rational}

Correct Incorrect Correct answer

4. What is the set builder notation for the set of all solutions to the equation |2x – 3| = 5?

{x | x = 4 or x = -1}

Correct Incorrect Correct answer

{x | x = 4 or x = -2}

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{x | x = 4 or x = 1}

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{x | x = 5 or x = -2}

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5. Represent the set of all complex numbers in the form a + bi, where a and b are integers, using set builder notation.

{x | x is a complex number}

Correct Incorrect Correct answer

{x | x = a + bi, where a and b are integers}

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{x | x = a + bi, where a and b are real numbers}

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{x | x = a + bi, where a and b are complex numbers}

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6. Which of the following represents the set of all solutions to the inequality x^2 – 4x + 3 ≥ 0?

{x | x ≤ 3 or x ≥ 1}

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{x | x ≤ 1 or x ≥ 3}

Correct Incorrect Correct answer

{x | x ≤ 1 or x ≥ 3}

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{x | x ≤ 3 or x ≥ 1}

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7. What is the set builder notation for the set of all natural numbers that are perfect squares?

{x | x is a perfect square and x is a natural number}

Correct Incorrect Correct answer

{x | x is a perfect square and x is a whole number}

Correct Incorrect Correct answer

{x | x is a perfect square and x is a positive integer}

Correct Incorrect Correct answer

{x | x is a perfect square}

Correct Incorrect Correct answer

8. Express the set of all irrational numbers between 1 and 2 using set builder notation.

{x | 1 < x < 2 and x is irrational}

Correct Incorrect Correct answer

{x | 1 ≤ x ≤ 2 and x is irrational}

Correct Incorrect Correct answer

{x | 1 < x < 2 and x is rational}

Correct Incorrect Correct answer

{x | 1 ≤ x ≤ 2 and x is rational}

Correct Incorrect Correct answer

9. What is the set builder notation for the set of all integers that are perfect cubes?

{x | x is a perfect cube}

Correct Incorrect Correct answer

{x | x is a perfect cube and x is an integer}

Correct Incorrect Correct answer

{x | x is a perfect cube and x is a whole number}

Correct Incorrect Correct answer

{x | x is a perfect cube and x is a natural number}

Correct Incorrect Correct answer

10. Represent the set of all solutions to the inequality 2x^2 – 3x < 5 using set builder notation.

{x | x < 5}

Correct Incorrect Correct answer

{x | x > -5/2}

Correct Incorrect Correct answer

{x | -5/2 < x < 5/2}

Correct Incorrect Correct answer

{x | x > 5/2 or x < -5/2}

Correct Incorrect Correct answer

SSS2 Math Quiz 9.3 – Comparison of mean, median, and mode

SSS2 Math Quiz 9.3 – Comparison of mean, median, and mode

Noah September 5, 2024

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