Step 1:
The first inequality is $3x-7 > 2(x-6)$
$=> 3x-7 > 2x-12$
Adding 7 to both sides of inequality subtracting 2x from both sides of inequality
$=> 3x-7+7 -2x > 2x _12 +7 -2x$
$=> x > -5$
Step 2:
The second inequality is $6-x > 11-2x$
Subtracting 6 from both sides of inequality adding 2x to both sides of inequality $6-x-6 +2x > 11-2x -6 +2x$
$x >5$-----(2)
Step 3:
From (1) and (2) we conclude that all numbers greater than -1 and greater than 5 from the common solution for the given set of inequalities.
The solution set is $(5, \infty)$
The solution is represented graphically as the number line as