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Which conditional and its converse form a true biconditional?

A) If x>0, then lxl >0
B) If x=3, then x2^2=9
C) If x^2 =4, Then x=2
D) If x=19, then 2x-3=35

Respuesta :

Nirina7
the answer is
D) If x=19, then 2x-3=35
proof

If x=19,  2(19)-3=38-3=35  so  If x=19, then 2x-3=35 is verified
if 2x-3=35, so 2x=35 + 3, 2x=38 implies x = 19, so x =19 is verified

 
If x=19 if and only if  2x-3=35

Answer: D) If x=19, then 2x-3=35

Step-by-step explanation:

A) If x > 0, then lxl >0,

L.H.S. x > 0,

R.H.S. lxl >0 ⇒ ± x > 0

⇒ L.H.S. ≠ R.H.S.

B) If x = 3 then [tex]x^2 = 9[/tex]

L.H.S. x = 3,

R.H.S.  [tex]x^2 = 9[/tex] ⇒ x = ± 3

⇒ L.H.S. ≠ R.H.S.

C) If [tex]x^2 =4[/tex], Then x=2

L.H.S. [tex]x^2 =4[/tex] ⇒ x = ± 2,

R.H.S. x = 2,

L.H.S. ≠ R.H.S.

D) 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 D is correct.

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