Consider U = {x|x is a real number}.A = {x|x ∈ U and x + 2 > 10}B = {x|x ∈ U and 2x > 10}Which pair of statements is correct?

For A, x + 2 > 10 means x > 8. For B, 2x > 10 means x > 5. Thus 8 is not in A, because A requires a number greater than 8, but 8 is in B because 8 > 5. The correct choice is “8 ∉ A; 8 ∈ B.”

AI-written and checked against the verified answer.