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.

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.