Worksheet 5(hw)

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Santa Ana College *

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170A

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Mathematics

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Apr 3, 2024

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Math 170A Name: Ethan Aguirre Spring 2024 – Worksheet 5 Directions : Multiple choice. Each problem has only one correct answer. Use the area directly below to write your answer of A, B, C, etc. in the space provided next to the problem number. Page one: 1. B 2. E 3. B 4. D 5. B Page two: 6. 7. F 8. D 9. B 10. A 1. Which of the following represents the set {π‘₯ ∈ ℝ | 5 < π‘₯ ≀ 8} ? (5,8] A. (3,8) ∩ [4, 7] C. [0,8] ∩ (5,9] B. (5,8] ∩ [4, 7] D. [0,8] ∩ [5,9] A. [βˆ’1,7) C. (βˆ’1,7) B. (βˆ’1,7] D. [βˆ’1,7] 2. Which of the following represents the set β„€ ∩ [4,9) ? A. [2,5) C. [2,5] E. {4,5,6,7,8,9} G. β„€ B. {2,5} D. [2,4] F. {4,5,6,7,8} H. ℝ 3. Which of the following represents the set ℝ βˆ’ [7, ∞) ? A. (βˆ’βˆž, 7] B. (βˆ’βˆž, 7) C. (βˆ’βˆž, 6] D. (βˆ’βˆž, 6) 4. Which of the following represents the set ℝ βˆ’ {4} ? A. (βˆ’βˆž, 4) ∩ (4, ∞) C. (βˆ’βˆž, 4] βˆͺ [4, ∞) E. {… ,1,2,3,5,6,7, … } B. (βˆ’βˆž, 4] ∩ [4, ∞) D. (βˆ’βˆž, 4) βˆͺ (4, ∞) F. ℝ ∩ {4} 5. Let the universal set be all real numbers. Let 𝑋 = {π‘₯ ∈ ℝ | π‘₯ < βˆ’1 or π‘₯ β‰₯ 7} . Find 𝑋̅ .
6. Which of the following represents the set β„• ? A. ℝ βˆͺ β„€ C. β„€ βˆ’ (βˆ’βˆž, 0] E. ℝ βˆ’ (βˆ’βˆž, 0] B. [0, ∞) D. (0, ∞) F. β„€ βˆͺ ℝ + 7. Which of the following represents the set {π‘₯ ∈ β„€ | π‘₯ < 2} ? A. β„€ βˆ’ [βˆ’2,2] C. β„€ βˆ’ (βˆ’βˆž, 2] B. β„€ βˆ’ [0, ∞) D. β„€ βˆ’ [2, ∞) 8. Which of the following represents the set (βˆ’βˆž, 5] ∩ (2, ∞) ? A. (βˆ’βˆž, ∞) C. (2,5] B. (βˆ’βˆž, 2) D. (5, ∞) 9. Which of the following represents the set [2,5) ∩ [3,8) ? A. [3,5] C. (3,5] B. [3,5) D. (3,5) 10. Which of the following represents the set [2,5) βˆͺ [3,8) ? A. [2,8) C. (2,8) B. (2,8] D. [2,8]
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