Question

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

• A. $\varphi$
• B. $\{14,3,4,\}$
• C. $\{3\}$
• D. $\{4\}$

Answer 1

Answer: (A)

Since, $x^2=16$
$\Rightarrow x=\pm 4$
and $2x=6$
$\Rightarrow x=3$
Hence, no value of $x$ is satisfied.
$\therefore A=\varphi$