The set A = x:x R, , x^2 = 16 and 2x = 6 equals - Vidyadip

MCQ

The set $A = \{ x:x \in R,\,{x^2} = 16$ and $2x = 6\} $ equals

✓
$\phi $
B
$\{14, 3, 4\}$
C
$\{3\}$
D
$\{4\}$

✓

Answer

Correct option: A.

$\phi $

a
(a) ${x^2} = 16$ ==> $x = \pm 4$

$2x = 6$ ==> $x = 3$

There is no value of $x$ which satisfies both the above equations. Thus, $A = \phi $.

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