Question

If $X=\{x:x\text{is a solution of}{x}^2+6x+9=0\},$ then which of the following is correct?

• A. $X\subset N\subset W\subset Z$
• B. $X\subset W\subset Z$
• C. $X\subset Z$
• D. $X\subset N$

Answer 1

The correct option is C $X\subset Z$

$X=\{x:x\text{is a solution of}{x}^2+6x+9=0\},$
Here, $x^2+6x+9=0$
$\Rightarrow (x+3{)}^2=0\Rightarrow x=-3$
$\Rightarrow X=\{-3\}\subset ̸N$ and $X\subset ̸W$
$\Rightarrow X\subset Z$