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12 January, 10:20

Which statement completes the syllogism?

a. If |x| < a for some positive number a, then x < a.

b.

c. If |x| - a.

Question 3 options:

A) If |x| < a for some positive number a, then x < a.

B) If |x| - a.

C) If x - a.

D) If x > - a then x < a.

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Answers (1)
  1. 12 January, 12:05
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    Option C is correct i. e., if x - a.

    Step-by-step explanation:

    if |x| < a for some positive number a,

    then by solving the inequality,

    we get, - a < x < a ... (1)

    i. e., x lies between - a and a.

    from equation (1), if x - a (which should be statement b)

    So, we can say that If |x| < a for some positive number a, then x - a (which is statement a and c).

    so, the correct option is C i. e., if x - a.
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