Question 1

What is the set notation for the interval notation (3, 7]?

Accepted Answer

{x | 3 < x ≤ 7}

Answer

{x | 3 < x < 7}

Answer

{x | 3 ≤ x < 7}

Answer

{x | x > 3 and x < 7}

Question 2

What is the set notation for the interval notation [−2, 4)?

Accepted Answer

{x | −2 ≤ x < 4}

Answer

{x | −2 ≤ x ≤ 4}

Answer

{x | x ≥ −2 and x < 4}

Answer

{x | −2 < x < 4}

Question 3

What is the set notation for the interval notation (5, ∞)?

Accepted Answer

{x | x > 5}

Answer

{x | x ≥ 5}

Answer

{x | x > 5 and x ≤ ∞}

Answer

{x | 5 < x < ∞}

Question 4

What is the set notation for the interval notation [1, 3] ∪ (5, 7]?

Accepted Answer

{x | 1 ≤ x ≤ 3 or 5 < x ≤ 7}

Answer

{x | 1 ≤ x < 3 or 5 < x < 7}

Answer

{x | 1 < x < 3 or 5 ≤ x ≤ 7}

Answer

{x | 1 ≤ x ≤ 3 and 5 < x ≤ 7}

Question 5

What is the set notation for the interval notation [4, 10)?

Accepted Answer

{x | 4 ≤ x < 10}

Answer

{x | 4 ≤ x ≤ 10}

Answer

{x | x ≥ 4 and x < 10}

Answer

{x | 4 < x < 10}

Question 6

Convert the interval notation (3, 7] into set notation.

Accepted Answer

{ x | 3 < x ≤ 7 }

Answer

{ x | 3 < x < 7 }

Answer

{ x | 3 ≤ x < 7 }

Answer

{ x | x ≥ 3 and x ≤ 7 }

Question 7

What is the set notation for the interval notation [−2, 4)?

Accepted Answer

{ x | -2 ≤ x < 4 }

Answer

{ x | x > -2 and x < 4 }

Answer

{ x | -2 < x ≤ 4 }

Answer

{ x | -2 < x < 4 }

Question 8

Which of the following is the correct set notation for the interval notation (1, 5)?

Accepted Answer

{ x | 1 < x < 5 }

Answer

{ x | 1 ≤ x < 5 }

Answer

{ x | 1 < x ≤ 5 }

Answer

{ x | x > 1 and x < 5 }

Question 9

Which of the following is the correct set notation for the interval notation (−∞, 2]?

Accepted Answer

{ x | x ≤ 2 }

Answer

{ x | x < 2 }

Answer

{ x | x ≥ 2 }

Answer

{ x | −∞ < x ≤ 2 }

Question 10

Convert the interval notation (−1, 3] into set notation.

Accepted Answer

{ x | -1 < x ≤ 3 }

Answer

{ x | -1 ≤ x < 3 }

Answer

{ x | x ≥ -1 and x ≤ 3 }

Answer

{ x | -1 < x < 3 }

Question 11

Which of the following is the correct set notation for the interval notation (0, ∞)?

Accepted Answer

{ x | x > 0 }

Answer

{ x | x ≥ 0 }

Answer

{ x | 0 < x ≤ ∞ }

Answer

{ x | x ≥ ∞ }

Question 12

Convert the interval notation [4, 9) into set notation.

Accepted Answer

{ x | 4 ≤ x < 9 }

Answer

{ x | 4 < x ≤ 9 }

Answer

{ x | x > 4 and x ≤ 9 }

Answer

{ x | 4 < x < 9 }

Question 13

What is the set notation for the interval notation (−∞, −5]?

Accepted Answer

{ x | x ≤ -5 }

Answer

{ x | x ≥ -5 }

Answer

{ x | -∞ < x < -5 }

Answer

{ x | x < -5 }

Question 14

Convert the interval notation [0, ∞) into set notation.

Accepted Answer

{ x | x ≥ 0 }

Answer

{ x | x ≤ 0 }

Answer

{ x | x > 0 }

Answer

{ x | 0 < x < ∞ }

Question 15

Convert the interval notation [-3, 0) into set notation.

Accepted Answer

{ x | -3 ≤ x < 0 }

Answer

{ x | -3 < x < 0 }

Answer

{ x | -3 < x ≤ 0 }

Answer

{ x | x ≥ -3 and x ≤ 0 }

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