Answered

Consider U = {xx is a real number}.
A= {xx EU and x+2> 10}
B={xx EU and 2x > 10}
Which pair of statements is correct?
O 5A; 5 E B
O 6 EA; 6 B
O 8 EA; 8 EB
O 9 EA; 9 € B



Answer :

GinnyAnswer
The correct pair of statements in this context is: - Statement 8: 8 ∈ A - Statement 8: 8 ∉ B Explanation: 1. Set A represents real numbers where x+2 is greater than 10. 2. If we substitute x = 8 into the inequality x+2>10, we get 8+2>10 which simplifies to 10>10. This is true, so 8 belongs to set A. Hence, 8 ∈ A. 3. Set B represents real numbers where 2x is greater than 10. 4. Substituting x = 8 into the inequality 2x>10 gives 2*8>10 which simplifies to 16>10. This is also true, so 8 is not in set B. Therefore, 8 ∉ B. By following these steps and understanding the conditions given for sets A and B, we can determine that the correct pair of statements is 8 ∈ A and 8 ∉ B.

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