Answer
2($x$ - 6) $\gt$ $\frac{1}{11}$
Work Step by Step
"Twice the difference" translates as:
2 $\times$ a subtraction expression
"The difference of $x$ and 6"
($x$ - 6)
"is greater than"
$\gt$
"the reciprocal of 11"
$\frac{1}{11}$
OR
2($x$ - 6) $\gt$ $\frac{1}{11}$
