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knowel

  • 2 years ago

Which conditional and its converse are both true? If x = 3, then x2 = 6. If x = 2, then x2 = 4. If x2 = 4, then x = 2. If x = 1, then 2x = 2. - i think its C but i dont know

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  1. stgreen
    • 2 years ago
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    B and D are both correct... in case of C If x2 = 4, then x = +2,-2 which is not an option

  2. knowel
    • 2 years ago
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    im confused

  3. mathstudent55
    • 2 years ago
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    Let's look at each one. A. If x = 3, then x2 = 6. Is this true?

  4. stgreen
    • 2 years ago
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    you;re confused about C or B and D?

  5. mathstudent55
    • 2 years ago
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    What is \(3^2 =\)

  6. knowel
    • 2 years ago
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    c

  7. knowel
    • 2 years ago
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    im confuced a bout c

  8. mathstudent55
    • 2 years ago
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    C. If \(x^2 = 4\), what can x =? What numbers squared = 4?

  9. stgreen
    • 2 years ago
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    C says If x2 = 4, then x = 2. which is incorrect \[x=\sqrt{4}=+2 , -2\]

  10. stgreen
    • 2 years ago
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    \[(-2)^{2}=2^{2}=4\] remember?

  11. knowel
    • 2 years ago
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    ok well idk if my are just tried but it look to me that a is correct

  12. stgreen
    • 2 years ago
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    A can't be right... see If x = 3, then x^2=3^2=9 while A says If x = 3, then x^2 = 6.

  13. knowel
    • 2 years ago
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    then which one is correct

  14. knowel
    • 2 years ago
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    nm b is correct

  15. knowel
    • 2 years ago
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    thank you guys

  16. mathstudent55
    • 2 years ago
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    You're not done.

  17. mathstudent55
    • 2 years ago
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    For each conditional, you need to see if both the conditional and its converse are true. Let's start with A.: If x = 3, x^2 = 6. This is false since 3^2 = 9, so if x = 3, x^2 = 9 not 6. Here the conditinal is false, so there is no need to check the converse.

  18. mathstudent55
    • 2 years ago
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    B. If x = 2, then x2 = 4. This conditional is true. If x = 2, 2^2 = 4. Now we need to check the converse. If x^2 = 4, then x = 2. This converse is false. If x^2 = 4, then x = -2 or +2. For B. the conditional was true but the converse was false. So B. is not the answer.

  19. mathstudent55
    • 2 years ago
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    C. If x2 = 4, then x = 2. If x^2 = 4, then x = -2 or +2. This conditional is false, so there is no need to check its converse.

  20. mathstudent55
    • 2 years ago
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    D. If x = 1, then 2x = 2. This conditional is true. If x = 1, then 2x = 2(1) = 2, or you can multiply both sides by2 to get 2x = 2. Now let's check the converse: If 2x = 2, then x = 1. We divide both sides by 2, to get: x = 1. The converse is also true. The answer is D. because that is the only conditional that is true , and its converse is also true.

  21. knowel
    • 2 years ago
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    ok i get it thank you for explaining

  22. mathstudent55
    • 2 years ago
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    wlcm

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