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18 April, 12:58

Consider U = {x/x is a real number}

A = {x/X EU and x + 2 > 10}

B = {x/X EU and 2x > 10}

Which pair of statements is true?

5 € A 5 EB

6 EA: 6 ЕВ

8 EA 8 EB

9 EA9B

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Answers (1)
  1. 18 April, 13:53
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    The fourth pair of statement is true.

    9∈A, and 9∈B.

    Step-by-step explanation:

    Given that,

    U = x is real number

    A = x∈ U and x+2>10

    B=x

    5 ∈ A, 5 ∈ B

    If 5∈ A, Then it will be satisfies x+2>10, but 5+2<10.

    Similarly, If 5∈ B, Then it will be satisfies 2x>10, but 2.5=10.

    So, 5∉A, and 5∉B.

    6 ∈ A, 6 ∈ B

    If 6∈ A, Then it will be satisfies x+2>10, but 6+2<10.

    Similarly, If 6∈ B, Then it will be satisfies 2x>10, and 2.6=12>10.

    So, 6∉A, and 6∈B.

    8 ∈ A, 8 ∈ B

    If 8∈ A, Then it will be satisfies x+2>10, but 8+2=10.

    Similarly, If 8∈ B, Then it will be satisfies 2x>10. 2.8=16>10.

    So, 8∉A, and 8∈B.

    9 ∈ A, 9 ∈ B

    If 9∈ A, Then it will be satisfies x+2>10, but 9+2=11>10.

    Similarly, If 9∈ B, Then it will be satisfies 2x>10. 2.9=18>10.

    So, 9∈A, and 9∈B.
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