Question

Solve the inequalities and represent the solution graphically on number line.
$3x-7>2(x-6),6-x>11-2x$

Answer 1

Red line is $y=3x-7$
Green line is $y=2x-12$
black line $y=11-2x$
blue line is $y=6-x$
Since $3x-7>2x-12$ for all $x>-5$
and $6-x>11-2x$ for all $x>5$