Which conditional and it’s converse from a true biconditional?
A. if x=19, then 2x-3=35
B. If x^2=4, then x=2
C. If x>0, then |x|>0
D. If x=3, then x^2=9

answer:

(A) If x=19, then 2x-3=35

Step-by-step explanation:

(A) If x=19, then 2x-3=35

L.H.S. x = 19,

R.H.S. 2x-3=35 ⇒ 2x = 38 ⇒ x = 19

⇒ L.H.S. = R.H.S.

⇒ Option A is correct.

B) If x = 3 then

L.H.S. x = 3,

R.H.S.   ⇒ x = ± 3

⇒ L.H.S. ≠ R.H.S.

C) If , Then x=2

L.H.S.  ⇒ x = ± 2,

R.H.S. x = 2,

L.H.S. ≠ R.H.S.

(D) If x > 0, then lxl >0,

L.H.S. x > 0,

R.H.S. lxl >0 ⇒ ± x > 0

⇒ L.H.S. ≠ R.H.S.

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